https://nldlab.gatech.edu/w/index.php?title=Group_2_2012&feed=atom&action=historyGroup 2 2012 - Revision history2024-03-28T16:07:42ZRevision history for this page on the wikiMediaWiki 1.39.3https://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1888&oldid=prevCjcrowley: Protected "Group 2 2012" ([edit=sysop] (indefinite) [move=sysop] (indefinite))2014-10-29T02:50:21Z<p>Protected "<a href="/w/index.php?title=Group_2_2012" title="Group 2 2012">Group 2 2012</a>" ([edit=sysop] (indefinite) [move=sysop] (indefinite))</p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:50, 28 October 2014</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>Cjcrowleyhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1839&oldid=prevMark: /* Results */2012-12-14T16:57:29Z<p><span dir="auto"><span class="autocomment">Results</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:57, 14 December 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><br /> <br /> </del><br /> <br /> <br /><br /> <br /><br /> <br /><br /> <br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /><br /> <br /><br /> <br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:power.png|600px|border|left]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:power.png|600px|border|left]]</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This means that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This means that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td></tr>
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</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1838&oldid=prevMark: /* Results */2012-12-14T16:57:12Z<p><span dir="auto"><span class="autocomment">Results</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:57, 14 December 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l212">Line 212:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /><br /> <br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><br /> <br /> <br /> <br /> </ins><br /><br /> <br /><br /> <br /><br /> <br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:power.png|600px|border|left]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:power.png|600px|border|left]]</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This means that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This means that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:KvsT_diffNumConnects.png|600px|border|right]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:KvsT_diffNumConnects.png|600px|border|right]]</div></td></tr>
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</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1837&oldid=prevMark: /* Results */2012-12-14T16:56:45Z<p><span dir="auto"><span class="autocomment">Results</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:56, 14 December 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l212">Line 212:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><br /> <br /> </ins><br /> <br /> <br /><br /> <br /></div></td></tr>
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<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l219">Line 219:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This means that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This means that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><br /> <br /> </ins><br /> <br /> <br /><br /> <br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:KvsT_diffNumConnects.png|600px|border|right]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:KvsT_diffNumConnects.png|600px|border|right]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1836&oldid=prevMark: /* Conclusion */2012-12-14T16:54:21Z<p><span dir="auto"><span class="autocomment">Conclusion</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:54, 14 December 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l232">Line 232:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Conclusion ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Conclusion ==</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>We initially hypothesized that fireflies group up around common environmental hotspots in order to improve their ability to communicate phase information. Our experimental results confirm this hypothesis by highlighting the ability of coupled oscillators to synchronize more quickly with <del style="font-weight: bold; text-decoration: none;">more </del>information; however, after a critical point, the fireflies become saturated with information. By this, we mean that after a particular threshold of connections between fireflies, any additional connections do not reduce the time to synchronization.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>We initially hypothesized that fireflies group up around common environmental hotspots in order to improve their ability to communicate phase information. Our experimental results confirm this hypothesis by highlighting the ability of coupled oscillators to synchronize more quickly with <ins style="font-weight: bold; text-decoration: none;">additional </ins>information; however, after a critical point, the fireflies become saturated with information. By this, we mean that after a particular threshold of connections between fireflies, any additional connections do not reduce the time to synchronization.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>For fireflies, this means that the grouping behavior may be beneficial up to a critical point after which additional fireflies no longer aid in synchronization.; therefore, we hypothesize that fireflies receiving limited amounts of phase information will seek out other groups of fireflies in order improve its ability to synchronize. We hope to investigate this in future work.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>For fireflies, this means that the grouping behavior may be beneficial up to a critical point after which additional fireflies no longer aid in synchronization.; therefore, we hypothesize that fireflies receiving limited amounts of phase information will seek out other groups of fireflies in order improve its ability to synchronize. We hope to investigate this in future work.</div></td></tr>
</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1835&oldid=prevMark: /* Background */2012-12-14T16:52:41Z<p><span dir="auto"><span class="autocomment">Background</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
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<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:52, 14 December 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17">Line 17:</td>
<td colspan="2" class="diff-lineno">Line 17:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>One particularly overlooked component of firefly synchronization is the topology of firefly groups in trees or around bodies of water \cite{Buck:1938wt}. While this seems necessary given the firefly's need to physically see its neighbors in order to synchronize, this grouping behavior may actually be necessitated by the dynamics by which fireflies alter their internal frequencies. For example, suppose one group of fireflies is on one side of a tree, another group is on the opposing side, and both are trying to communicate with one female in between. Because these groups are more likely to be unsynchronized, they are unlikely to warrant a response from the female given the lack of synchronization. Thus, it makes reproductive sense for these two groups to communicate with one another to some degree. In this paper, we hope to investigate the extent to which groups of fireflies communicate with one another.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>One particularly overlooked component of firefly synchronization is the topology of firefly groups in trees or around bodies of water \cite{Buck:1938wt}. While this seems necessary given the firefly's need to physically see its neighbors in order to synchronize, this grouping behavior may actually be necessitated by the dynamics by which fireflies alter their internal frequencies. For example, suppose one group of fireflies is on one side of a tree, another group is on the opposing side, and both are trying to communicate with one female in between. Because these groups are more likely to be unsynchronized, they are unlikely to warrant a response from the female given the lack of synchronization. Thus, it makes reproductive sense for these two groups to communicate with one another to some degree. In this paper, we hope to investigate the extent to which groups of fireflies communicate with one another.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[File:trees.JPG]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[File:trees.JPG<ins style="font-weight: bold; text-decoration: none;">|400px|border|center</ins>]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>We hypothesize that the ability of a firefly to synchronize quickly and successfully is directly proportional to the number of other fireflies that it can see.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>We hypothesize that the ability of a firefly to synchronize quickly and successfully is directly proportional to the number of other fireflies that it can see.</div></td></tr>
</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1833&oldid=prevMark: /* Background */2012-12-14T16:51:43Z<p><span dir="auto"><span class="autocomment">Background</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:51, 14 December 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16">Line 16:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>One particularly overlooked component of firefly synchronization is the topology of firefly groups in trees or around bodies of water \cite{Buck:1938wt}. While this seems necessary given the firefly's need to physically see its neighbors in order to synchronize, this grouping behavior may actually be necessitated by the dynamics by which fireflies alter their internal frequencies. For example, suppose one group of fireflies is on one side of a tree, another group is on the opposing side, and both are trying to communicate with one female in between. Because these groups are more likely to be unsynchronized, they are unlikely to warrant a response from the female given the lack of synchronization. Thus, it makes reproductive sense for these two groups to communicate with one another to some degree. In this paper, we hope to investigate the extent to which groups of fireflies communicate with one another.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>One particularly overlooked component of firefly synchronization is the topology of firefly groups in trees or around bodies of water \cite{Buck:1938wt}. While this seems necessary given the firefly's need to physically see its neighbors in order to synchronize, this grouping behavior may actually be necessitated by the dynamics by which fireflies alter their internal frequencies. For example, suppose one group of fireflies is on one side of a tree, another group is on the opposing side, and both are trying to communicate with one female in between. Because these groups are more likely to be unsynchronized, they are unlikely to warrant a response from the female given the lack of synchronization. Thus, it makes reproductive sense for these two groups to communicate with one another to some degree. In this paper, we hope to investigate the extent to which groups of fireflies communicate with one another.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:trees.JPG]]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>We hypothesize that the ability of a firefly to synchronize quickly and successfully is directly proportional to the number of other fireflies that it can see.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>We hypothesize that the ability of a firefly to synchronize quickly and successfully is directly proportional to the number of other fireflies that it can see.</div></td></tr>
</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1832&oldid=prevMark: /* Results */2012-12-14T16:48:33Z<p><span dir="auto"><span class="autocomment">Results</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:48, 14 December 2012</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l215">Line 215:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This <del style="font-weight: bold; text-decoration: none;">mean </del>that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>When we fit curves to time to synchronization time vs number of connections (corresponding to radii), we find that the data is approximated by a power series. Again, this highlights the fact that synchronization times become relatively stable even with increased connections. This <ins style="font-weight: bold; text-decoration: none;">means </ins>that the firefly reaches a point where it becomes saturated with information, and gains no additional benefit from additional connections.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td></tr>
</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1831&oldid=prevMark: /* Results */2012-12-14T16:48:01Z<p><span dir="auto"><span class="autocomment">Results</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:48, 14 December 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br /> <br /> <br /> <br /> <br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair <del style="font-weight: bold; text-decoration: none;">(Figure 14)</del>. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>If we look specifically at the random start conditions for K-radii pairs, we see that the variance of time to synchronization decreases with stronger coupling constants (radii fixed). Furthermore, we see that the time to synchronization in all radii - K pairs is strongly correlated with the mean of that pair. This implies that the coupling constant reduces the dependence of synchronization time on initial conditions.</div></td></tr>
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</table>Markhttps://nldlab.gatech.edu/w/index.php?title=Group_2_2012&diff=1830&oldid=prevMark: /* Experiment */2012-12-14T16:46:21Z<p><span dir="auto"><span class="autocomment">Experiment</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:46, 14 December 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Below is a video of a synchronization trial at <del style="font-weight: bold; text-decoration: none;"><br /></del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Below is a video of a synchronization trial at R = 1 (nearest neighbors in the 4 cardinal directions), K = 15.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>R = 1 (nearest neighbors in the 4 cardinal directions), K = 15.</div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><videoflash>PZ4_o-e8GdE</videoflash></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><videoflash>PZ4_o-e8GdE</videoflash></div></td></tr>
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