混沌吸引子的单元模型

电路与系统学报 Pub Date : 1997-06-09 DOI:10.1109/ISCAS.1997.621912

S. Qiu

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引用次数: 4

摘要

本文提出了一个描述实际混沌行为的混沌吸引子单元模型，并解释了非线性系统产生混沌的机理。结果表明:(1)混沌吸引子中存在一个或多个实吸引子，即“混合吸引子”;(2)准周期运动(QM)和孤立直接运动(DM)在混沌系统中交替发生并相互转换，QM的准周期性和DM的游荡性是混沌演化的主要原因。并给出了混沌吸引子存在的两个判据。

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A cell model of chaotic attractor

This paper presents a cell model of chaotic attractor that describes practical chaotic behaviors and explains the chaos-producing mechanisms of nonlinear systems. It has been shown that: (1) there are one or more real attractors, the "hybrid attractors", in a chaotic attractor, and (2) a quasi-periodic motion (QM) and an isolate direct motion (DM) occur alternately and convert each other in a chaotic system, and the quasi-periodicity of QM and the wandering nature of DM are the main causes of chaos-evolving. Two criteria for the existence of chaotic attractor are given as well.

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电路与系统学报

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2463