非光滑分岔的映射分析

秦志英; 陆启韶

振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 79-81.

PDF(287 KB)
PDF(287 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 79-81.
论文

非光滑分岔的映射分析

  • 秦志英1, 陆启韶2
作者信息 +

Map Analysis for Non-smooth Bifurcations

  • Qin Zhiying1, Lu Qqishao2
Author information +
文章历史 +

摘要

摘要 非光滑因素在自然界和工程领域中广泛存在,应用动力系统的理论进行统一研究具有重要的意义。非光滑系统不仅可能发生光滑系统的各种常规分岔,而且还可能发生一些光滑系统所不具备的特有分岔,统称为非光滑分岔。这类分岔对系统的动力学行为具有重要影响,并提供了更多通向混沌的路径,是非光滑动力学研究的热点和难点。

Abstract

Abstract Nonsmooth factors widely exist in natural and engineering areas, so it is important to study in general by dynamics theories. For non-smmoth systems, there not only are general bifurcations in smooth systems, but also occur special bifurcations, which are named non-smooth bifurcations. These non-smooth bifurcations have important effect on system dynamic behavior, and provide more routes to chaos. This is hot and difficult point for non-smooth dynamics.

关键词

关键词 非光滑 分岔 混沌

Key words

Keywords Non-smooth Bifurcations Chaos

引用本文

导出引用
秦志英; 陆启韶. 非光滑分岔的映射分析[J]. 振动与冲击, 2009, 28(6): 79-81
Qin Zhiying; Lu Qqishao. Map Analysis for Non-smooth Bifurcations [J]. Journal of Vibration and Shock, 2009, 28(6): 79-81

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