Work

On the period map of planar Hamiltonian systems with separated variables

Year: 2026

Type: article

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.

Source: Annali di Matematica Pura ed Applicata (1923 -)

DOI: 10.1007/s10231-026-01709-w

Authors: Alessandro Fonda, Maurizio Garrione, Andrea Sfecci

Institutions: University of Trieste, Politecnico di Milano

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Università degli Studi di Trieste