Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System

In this paper, we consider a simple nonlinear system which consists of a chaotic system and multirate sample-hold controllers. The proposed system exhibits some stabilized Unstable Periodic Orbits which are embedded on the chaos attractor of the original chaotic system. We provide a condition to stabilize Unstable Periodic Orbits and its domain of attraction. Some theoretical results are verified in the experimental circuit.

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