吸引子
混沌控制
混沌同步
同步
混乱的
物理
分形
统计物理学
混沌(操作系统)
摄动(天文学)
控制理论(社会学)
计算机科学
控制(管理)
拓扑(电路)
数学
数学分析
人工智能
计算机安全
组合数学
量子力学
出处
期刊:Physics Reports
[Elsevier BV]
日期:2000-05-01
卷期号:329 (3): 103-197
被引量:845
标识
DOI:10.1016/s0370-1573(99)00096-4
摘要
Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review the major ideas involved in the control of chaos, and present in detail two methods: the Ott–Grebogi–Yorke (OGY) method and the adaptive method. We also discuss a series of relevant issues connected with chaos control, such as the targeting problem, i.e., how to bring a trajectory to a small neighborhood of a desired location in the chaotic attractor in both low and high dimensions, and point out applications for controlling fractal basin boundaries. In short, we describe procedures for stabilizing desired chaotic orbits embedded in a chaotic attractor and discuss the issues of communicating with chaos by controlling symbolic sequences and of synchronizing chaotic systems. Finally, we give a review of relevant experimental applications of these ideas and techniques.
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