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高维系统中混沌的控制与同步:近期一些成果综述

Control and synchronization of chaos in high dimensional systems: Review of some recent results.

作者信息

Ding Mingzhou, Ding E-Jiang, Ditto William L., Gluckman Bruce, In Visarath, Peng Jian-Hua, Spano Mark L., Yang Weiming

机构信息

Center for Complex Systems and Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, Florida 33431.

出版信息

Chaos. 1997 Dec;7(4):644-652. doi: 10.1063/1.166284.

Abstract

Controlling chaos and synchronization of chaos have evolved for a number of years as essentially two separate areas of research. Only recently it has been realized that both subjects share a common root in control theory. In addition, as limitations of low dimensional chaotic systems in modeling real world phenomena become increasingly apparent, investigations into the control and synchronization of high dimensional chaotic systems are beginning to attract more interest. We review some recent advances in control and synchronization of chaos in high dimensional systems. Efforts will be made to stress the common origins of the two subjects. (c) 1997 American Institute of Physics.

摘要

多年来,混沌控制和混沌同步已发展成为两个基本独立的研究领域。直到最近人们才意识到,这两个主题在控制理论中有共同的根源。此外,随着低维混沌系统在模拟现实世界现象方面的局限性日益明显,对高维混沌系统的控制和同步研究开始吸引更多关注。我们回顾了高维系统中混沌控制和同步方面的一些最新进展。将着重强调这两个主题的共同起源。(c)1997美国物理研究所。

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