Selection of a desirable chaotic phase using small feedback control

Yoshihiko Nagai and Ying-Cheng Lai
Phys. Rev. E 51, 3842 – Published 1 May 1995
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Abstract

It is common for nonlinear dynamical systems to exhibit behaviors where orbits switch between distinct chaotic phases in an intermittent fashion. A feedback control strategy using small parameter perturbations is proposed to stabilize the trajectory around a desired chaotic phase. The idea is illustrated by using an intermittent chaotic time series generated by model dynamical systems in parameter regimes after critical events such as the interior crisis. Relevance to biological situations is pointed out.

  • Received 13 February 1995

DOI:https://doi.org/10.1103/PhysRevE.51.3842

©1995 American Physical Society

Authors & Affiliations

Yoshihiko Nagai

  • Department of Physics and Astronomy, The University of Kansas, Lawrence, Kansas 66045

Ying-Cheng Lai

  • Department of Physics and Astronomy and Department of Mathematics, Kansas Institute for Theoretical and Computational Science, The University of Kansas, Lawrence, Kansas 66045

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Issue

Vol. 51, Iss. 5 — May 1995

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