Adaptation to the edge of chaos in one-dimensional chaotic maps.
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.
Ando
Hiroyasu
H
Department of Mathematical Informatics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan. andoh@sat.t.u-tokyo.ac.jp
Aihara
Kazuyuki
K