On the period map of planar Hamiltonian systems with separated variables
Abstract We consider planar Hamiltonian systems with Hamiltonian function of the type $$H(x,y)=F(y)+G(x)$$ having the origin as a global center, and generalize to this setting some known results on the period map. We are thus led to a characterization of isochronism for scalar second order equations involving the p -Laplacian operator.
Authors
- Andrea Sfecci (ORCID: https://orcid.org/0000-0002-8580-3026)
- Maurizio Garrione (ORCID: https://orcid.org/0000-0002-9823-9970)
- Alessandro Fonda (ORCID: https://orcid.org/0000-0001-6230-3101)
Publication Details
- Journal
- Annali di Matematica Pura ed Applicata (1923 -)
- Published
- 2026-05-16
- DOI
- https://doi.org/10.1007/s10231-026-01709-w
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Trieste