Work

Limit cycles in planar piecewise linear systems of saddle-saddle type with a nonregular separation line

Year: 2025

Type: article

Abstract: The maximum number of crossing limit cycles in planar piecewise linear systems with a nonregular separating line is considered. We give the canonical form topological transformation by considering specific assumptions in the planar piecewise linear systems of saddle-saddle type with a nonregular separation line. Based on the classification of the section maps, we analyse the expressions and analytic properties of the composite maps. In particular, some parameter conditions are found that make the systems yield at least five bounded crossing limit cycles.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025093

Authors: Zhouchao Wei, Xiuyuan Cheng, Jicheng Duan, Irene Moroz, Liyun Zhang

Institutions: China University of Geosciences, University of Oxford, Wuchang Shouyi University

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, China University of Geosciences, Fundamental Research Funds for the Central Universities

Awards: G52038698, G609557123, G8690499808