西北师范大学学报(自然科学版)2011,Vol.47Issue(2):42-45,4.
一个分段光滑系统中的特征激变
A characteristic crisis in a piece-wise smooth system
摘要
Abstract
The thesis reports a relaxation and oscillation circuit with over-voltage protection, which is described by a piecewise smooth concatenation of two conservative maps. In such a quasi-dissipative system, crisis arises from the sudden disappearance of a chaotic attractor with fractal dimension when the control parameter reaches a certain threshold value. The crisis has two characteristics: the elliptic island itself is escaping hole through which the chaotic attractor escapes; its scale index is 1.79.关键词
分段光滑/椭圆岛/混沌吸引子/激变分类
数理科学引用本文复制引用
巢小刚,岳明,金铱,倪重文..一个分段光滑系统中的特征激变[J].西北师范大学学报(自然科学版),2011,47(2):42-45,4.基金项目
常州大学数理基金资助项目(ZMF09020024) (ZMF09020024)