用周期轨道来描述连续系统

2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512) Pub Date : 2004-05-23 DOI:10.1109/ISCAS.2004.1329104

Z. Galias

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引用次数: 0

摘要

在这项工作中，我们描述了一种方法来找到，对于一个连续系统，所有的低周期周期嵌入在一个数值观察吸引子。作为该技术应用的一个例子，我们构造了罗斯勒系统的捕获区域，并找到了相关庞加莱图的所有周期轨道，直到第11周期。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Towards full characterization of continuous systems in terms of periodic orbits

In this work we describe a method to find, for a continuous system, all the low-period cycles embedded within a numerically observed attractor. As an example of the application of this technique, we construct the trapping region for the Roessler system and find all periodic orbits of the associated Poincare map up to period 11.

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2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512)

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