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Shil’nikov chaos control using homoclinic orbits and the Newhouse region

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  • Furui, Sadataka
  • Niiya, Shohei

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.

Suggested Citation

  • Furui, Sadataka & Niiya, Shohei, 2007. "Shil’nikov chaos control using homoclinic orbits and the Newhouse region," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 966-988.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:966-988
    DOI: 10.1016/j.chaos.2006.04.034
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