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

Hiroyasu Ando, Kazuyuki Aihara

研究成果: Article査読

7 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号066205
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
74
6
DOI
出版ステータスPublished - 2006
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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