Adaptation to the edge of chaos in one-dimensional chaotic maps

Hiroyasu Ando, Kazuyuki Aihara

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We present a method that enables chaotic systems to change its dynamics to stable periodic dynamics by a feedback adjustment. The proposed method uses feedback of a largest value obtained from observations of a fixed interval of time series of the system variable and therefore does not require any a priori detailed information. We apply this method to several chaotic systems and confirm numerically that chaotic states are stabilized to stable periodic ones. Since the stabilized states in the system are formed around a boundary between regular states and chaotic ones, the method provides a kind of adaptation to the edge of chaos.

Original languageEnglish
Article number066205
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number6
DOIs
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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