Selection of a desirable chaotic phase using small feedback control

Yoshihiko Nagai, Ying-Cheng Lai

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)3842-3848
Number of pages7
JournalPhysical Review E
Volume51
Issue number5
DOIs
StatePublished - 1995
Externally publishedYes

Fingerprint

feedback control
dynamical systems
Feedback Control
Chaotic Time Series
Parameter Perturbation
Nonlinear Dynamical Systems
Small Perturbations
Small Parameter
Control Strategy
Switch
Interior
Dynamical system
Orbit
trajectories
Trajectory
orbits
Distinct
perturbation
Model
Crisis

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Selection of a desirable chaotic phase using small feedback control. / Nagai, Yoshihiko; Lai, Ying-Cheng.

In: Physical Review E, Vol. 51, No. 5, 1995, p. 3842-3848.

Research output: Contribution to journalArticle

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