Below is a list of possible nonlinear dynamics experiments. For the student led experiments groups should choose one from below of supply an alternative experiment with a short proposal arguing for its applicability.
- 1 Completely inelastic bouncing ball
- 2 Metronome or biological synchronization
- 3 Dynamics of a hopping robot
- 4 Mechanical time delay oscillator
- 5 Fluid flow oscillations
- 6 Stick-slip dynamics of dry friction
- 7 Fracture fractals
- 8 Chemical oscillator
- 9 Stabilizing a unicycle
- 10 Plastic bottle oscillator
- 11 Spinning hoop or bead on a hoop bifurcations
- 12 Damped driven pendulum
- 13 Chaotic circuits
- 14 Lorenz waterwheel
- 15 Faraday waves
- 16 Vertically vibrated inverted pendulum
- 17 Double pendulum
Completely inelastic bouncing ball
Metronome or biological synchronization
Dynamics of a hopping robot
Mechanical time delay oscillator
Fluid flow oscillations
Stick-slip dynamics of dry friction
The B-Z reaction is described here
Stabilizing a unicycle
Plastic bottle oscillator
Spinning hoop or bead on a hoop bifurcations
Damped driven pendulum
From Wikipedia, the free encyclopedia Chua's circuit is a simple electronic circuit that exhibits classic chaos theory behavior. It was introduced in 1983 by Leon O. Chua, who was a visitor at Waseda University in Japan at that time. The ease of construction of the circuit has made it a ubiquitous real-world example of a chaotic system, leading some to declare it a paradigm for chaos.
The Lorenz waterwheel is a physical device which is modeled by the Lorenz equations. The equations take the name of Ed Lorenz the scientist who discovered them while studying weather dynamics.
Faraday waves are the observed phenomena when a fluid with a free surface is vibrated sinusoidally above critical shaking parameters. Faraday waves are a classic example of a pattern forming system and display many features associated with nonlinear dynamics such as bifurcations and chaos.
Vertically vibrated inverted pendulum
A pendulum can be stabilized in the "upside down" position by vertically oscillating the pendulum base. In this lab we will explore the transition to inverted stability.
Wikipedia article here