Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line
Abstract In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.
Authors
- Durval J. Tonon (ORCID: https://orcid.org/0000-0002-2733-1825)
- Jaume Llibre (ORCID: https://orcid.org/0000-0002-9511-5999)
- Ángel Sánchez (ORCID: https://orcid.org/0000-0001-9069-6985)
Institutions
- Universitat Autònoma de Barcelona (ES)
- Instituto Federal de Goiás (BR)
- Universidade Federal de Goiás (BR)
Publication Details
- Journal
- Nonlinear Differential Equations and Applications NoDEA
- Published
- 2025-04-09
- DOI
- https://doi.org/10.1007/s00030-025-01050-w
- Citations
- 1
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Generalitat de Catalunya
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Universitat Autònoma de Barcelona
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- Agencia Estatal de Investigación