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Coexistence of Two-Dimensional Attractors in Border Collision Normal Form

Chi Hong Wong

http://orcid.org/0000-0002-3238-3793

School of Mathematics, Tianjin University, Tianjin 300072, P. R. China

E-mail Address: chiwong@tju.edu.cn

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and

Xue Yang

School of Mathematics, Tianjin University, Tianjin 300072, P. R. China

E-mail Address: xyang2013@tju.edu.cn

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https://doi.org/10.1142/S0218127419501268Cited by:2 (Source: Crossref)

Abstract

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.

Keywords:

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