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

Sadataka Furui, Shohei Niiya

nlin.CDarXiv:nlin/0604014

Abstract

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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