Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region

Details Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region

2006-04-10

arxiv.org/abs/nlin/0604014v1

Nonlinear Sciences

Chaotic Dynamics

23 pages, 48 figures

Scientific paper

A method of controlling Shil'nikov's type chaos using windows that appear in the 1 dimensional bifurcation diagram when perturbations are applied, and using existence of stable homoclinic orbits near the unstable one is presented and applied to the electronic Chua's circuit. A demonstration of the chaos control in the electronic circuit experiments and their simulations and bifurcation analyses are given.

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