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.
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页数：11
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