Chua's circuit - Revision history

Cjcrowley: /* Results */

2011-10-17T18:27:40Z

Results

← Older revision		Revision as of 14:27, 17 October 2011
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	''Note: to include video from youtube, in the videoflash tag place the youtube filename''.		''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash ~~type="html5"~~>Chtc_4iSwDE</videoflash>		<videoflash>Chtc_4iSwDE</videoflash>

	== Simulation of Chua's circuit ==		== Simulation of Chua's circuit ==

2011-10-17T18:25:25Z

Results

← Older revision		Revision as of 14:25, 17 October 2011
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	''Note: to include video from youtube, in the videoflash tag place the youtube filename''.		''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash type="html5~~" style="align:center~~">Chtc_4iSwDE</videoflash>		<videoflash type="html5">Chtc_4iSwDE</videoflash>

	== Simulation of Chua's circuit ==		== Simulation of Chua's circuit ==

2011-10-17T18:25:07Z

Results

← Older revision		Revision as of 14:25, 17 October 2011
Line 105:		Line 105:
	''Note: to include video from youtube, in the videoflash tag place the youtube filename''.		''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash type="html5" style="~~width:150px; height:100px;~~ align:center">Chtc_4iSwDE</videoflash>		<videoflash type="html5" style="align:center">Chtc_4iSwDE</videoflash>

	== Simulation of Chua's circuit ==		== Simulation of Chua's circuit ==

2011-10-17T18:24:46Z

Results

← Older revision		Revision as of 14:24, 17 October 2011
Line 105:		Line 105:
	''Note: to include video from youtube, in the videoflash tag place the youtube filename''.		''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash style="width:150px; height:100px; align:center">Chtc_4iSwDE</videoflash>		<videoflash type="html5" style="width:150px; height:100px; align:center">Chtc_4iSwDE</videoflash>

	== Simulation of Chua's circuit ==		== Simulation of Chua's circuit ==

2011-10-17T18:24:09Z

Results

← Older revision		Revision as of 14:24, 17 October 2011
Line 105:		Line 105:
	''Note: to include video from youtube, in the videoflash tag place the youtube filename''.		''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash>Chtc_4iSwDE</videoflash>		<videoflash style="width:150px; height:100px; align:center">Chtc_4iSwDE</videoflash>

	== Simulation of Chua's circuit ==		== Simulation of Chua's circuit ==

2011-10-17T17:05:36Z

Results

← Older revision		Revision as of 13:05, 17 October 2011
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	== Results ==		== Results ==

	Below is a video from the oscilloscope showing the bifurcations that occur leading to the chaotic state. ''Note: to include video from youtube, in the videoflash tag place the youtube filename''.		Below is a video from the oscilloscope showing the bifurcations that occur leading to the chaotic state.

			''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash>Chtc_4iSwDE</videoflash>		<videoflash>Chtc_4iSwDE</videoflash>

2011-10-17T17:05:25Z

Results

← Older revision		Revision as of 13:05, 17 October 2011
Line 100:		Line 100:

	== Results ==		== Results ==

			Below is a video from the oscilloscope showing the bifurcations that occur leading to the chaotic state. ''Note: to include video from youtube, in the videoflash tag place the youtube filename''.

	<videoflash>Chtc_4iSwDE</videoflash>		<videoflash>Chtc_4iSwDE</videoflash>


	== Simulation of Chua's circuit ==		== Simulation of Chua's circuit ==

2011-10-17T17:01:57Z

← Older revision		Revision as of 13:01, 17 October 2011
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	It is important to point out that the Chua Circuit is not an analog computer. Rather it is a physical system where the voltage, current, and power associated with each of the 5 circuit elements in Figure 1 can be measured and observed on an oscilloscope, and where the power flow among the elements makes physical sense. In an analog computer (usually using Op Amps interconnected with other electronic components to mimic some prescribed set of differential equations), the measured voltages have no physical meanings because the corresponding currents and powers can not be identified, let alone measured, from the analog computer.		It is important to point out that the Chua Circuit is not an analog computer. Rather it is a physical system where the voltage, current, and power associated with each of the 5 circuit elements in Figure 1 can be measured and observed on an oscilloscope, and where the power flow among the elements makes physical sense. In an analog computer (usually using Op Amps interconnected with other electronic components to mimic some prescribed set of differential equations), the measured voltages have no physical meanings because the corresponding currents and powers can not be identified, let alone measured, from the analog computer.

			== Results ==

			<videoflash>Chtc_4iSwDE</videoflash>

2011-10-13T18:57:01Z

Linear stability analysis

2011-10-13T18:56:37Z

Linear stability analysis

← Older revision		Revision as of 14:56, 13 October 2011
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	</math>		</math>

			Linearizing about the fixed points gives the following stability matrix.

	\end{~~aligned~~}		:<math>
			\begin{pmatrix}
			-a + b & a & 0 \\
			\sigma a & -\sigma a \sigma \\
			0 & -c & -\bar{r} c
			\end{pmatrix}
	</math>		</math>


	~~Linearizing about the fixed points gives the following stability matrix.~~



	=== Chaotic dynamics ===		=== Chaotic dynamics ===