Coexistence of Two-Dimensional Attractors in Border Collision Normal Form

被引：3

作者：

Wong, Chi Hong ^{[1
]}

Yang, Xue ^{[1
]}

机构：

[1] Tianjin Univ, Sch Math, Tianjin 300072, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2019年 / 29卷 / 09期

关键词：

Border collision bifurcation; piecewise smooth system; normal form; attractors; multistability; CONTINUOUS INVARIANT-MEASURES; BIFURCATIONS;

D O I：

10.1142/S0218127419501268

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The two-dimensional border collision normal form is considered. It is known that multiple attractors can exist in this piecewise smooth system. We show that in appropriate parameter regions there can be a robust transition from a stable fixed point to multiple coexisting attractors with toological dimensions equal to two.

引用

页数：11

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