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 isochro- nism for scalar second order equations involving the p-Laplacian operator.
On the period map of planar Hamiltonian systems with separated variables / Fonda, Alessandro; Garrione, Maurizio; Sfecci, Andrea. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2026), pp. 1-13. [10.1007/s10231-026-01709-w]
On the period map of planar Hamiltonian systems with separated variables
Alessandro Fonda;Maurizio Garrione;Andrea Sfecci
2026-01-01
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 isochro- nism for scalar second order equations involving the p-Laplacian operator.File in questo prodotto:
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