Period Function for a Family of Piecewise Planar Hamiltonian Systems
In this paper, we analyze the monotonicity and the number of critical periods of the period function associated with a family of piecewise planar continuous potential systems. In particular, we describe the bifurcation diagram of the period function, determining the regions of the parameter space where it is monotonically increasing or decreasing and where it has at most one simple critical period. In order to prove the main result, we rewrite such a function in terms of the two period functions of the uncoupled planar Hamiltonian systems matched by the separation line.
Authors
- Alex C. Rezende (ORCID: https://orcid.org/0000-0002-1713-5337)
- Mykaelli A. Santos (ORCID: https://orcid.org/0009-0001-8722-1046)
- Joan Torregrosa (ORCID: https://orcid.org/0000-0002-2753-1827)
Institutions
- Universitat Autònoma de Barcelona (ES)
- Universidade Federal de São Carlos (BR)
- Centre de Recerca Matemàtica (ES)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2024-11-28
- DOI
- https://doi.org/10.1142/s0218127424501992
- Citations
- 2
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 2.02
Funders
- Ministerio de Ciencia, Innovación y Universidades
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Agencia Estatal de Investigación