Limit cycles in planar piecewise linear systems of saddle-saddle type with a nonregular separation line
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.
Authors
- Irene M. Moroz (ORCID: https://orcid.org/0000-0003-1503-939X)
- Jicheng Duan (ORCID: https://orcid.org/0000-0002-9798-4725)
- Zhouchao Wei (ORCID: https://orcid.org/0000-0001-6981-748X)
- Liyun Zhang (ORCID: https://orcid.org/0000-0002-0994-4994)
- Xiuyuan Cheng (ORCID: https://orcid.org/0000-0002-1034-6019)
Institutions
- China University of Geosciences (CN)
- University of Oxford (GB)
- Mathematical Institute of the Slovak Academy of Sciences (SK)
- Wuchang University of Technology (CN)
- Wuchang Shouyi University
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - B
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcdsb.2025093
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China University of Geosciences
- Fundamental Research Funds for the Central Universities