Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization

Details Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization

2012-02-24

arxiv.org/abs/1202.5508v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, 7 figures. The following article has been accepted by the American Journal of Physics. After it is published, it wil

Scientific paper

We describe a simple experimental implementation of the Malkus-Lorenz water wheel. We demonstrate that both chaotic and periodic behavior is found as wheel parameters are changed in agreement with predictions from the Lorenz model. We furthermore show that when the measured angular velocity of our water wheel is used as an input signal to a computer model implementing the Lorenz equations, high quality chaos synchronization of the model and the water wheel is achieved. This indicates that the Lorenz equations provide a good description of the water wheel dynamics.

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