A criterion for singular homoclinic classes
We show that for a C 1 generic vector field away from homoclinic tangencies, any chain recurrence class containing two singularities of distinct indices is a homoclinic class.
Authors
- Jiagang Yang (ORCID: https://orcid.org/0000-0003-4382-8433)
- Rusong Zheng
- Ming Li (ORCID: https://orcid.org/0000-0002-2725-353X)
Institutions
- Universidade Federal Fluminense (BR)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcds.2025088
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro