English

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

Chaotic Dynamics 2015-06-26 v1

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.

Keywords

Cite

@article{arxiv.nlin/0604014,
  title  = {Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region},
  author = {Sadataka Furui and Shohei Niiya},
  journal= {arXiv preprint arXiv:nlin/0604014},
  year   = {2015}
}

Comments

23 pages, 48 figures