一类简单动力学系统的分岔复杂性

2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353) Pub Date : 2000-05-28 DOI:10.1109/ISCAS.2000.856039

M. Shashkov

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引用次数: 0

摘要

考虑了一类具有非常简单动力学的协维二动力系统。尽管分岔集的动力学行为很简单，但其结构却相当复杂。结果表明，不存在能够完全描述分岔集结构的通用双参数族。

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On complexity of bifurcations for some classes of systems with simple dynamics

A class of codimension two dynamical systems with very simple dynamics is considered. In spite of simplicity of the dynamical behavior, the structure of the bifurcation set is rather complicated. It is shown that there is no versal two-parameter family of dynamical systems which could describe completely the structure of the bifurcational set.

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2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)

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