On the number of periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \(\mathbb{R}^{2n}\)

DOI10.1016/J.NA.2003.10.009zbMath1053.37036OpenAlexW1991598117MaRDI QIDQ1879182

Tianqing An

Publication date: 22 September 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.009

zbMATH Keywords

periodic orbitHamiltonian systempositive-type hypersurface

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25)

Related Items (4)

Periodic solutions of superlinear autonomous Hamiltonian systems with prescribed period ⋮ Non-existence of positive solutions of some elliptic equations in positive-type domains ⋮ Multiple periodic solutions of Hamiltonian systems with prescribed energy ⋮ On the minimal periodic solutions of nonconvex superlinear Hamiltonian systems

Cites Work

• Unnamed Item
• A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
• Periodic solutions on hypersurfaces and a result by C. Viterbo
• On a theorem by Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories
• The dynamics on three-dimensional strictly convex energy surfaces
• Existence of multiple periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \({\mathbb{R}}^{2n}\)
• Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
• Solutions of minimal period for a class of nonconvex Hamiltonian systems and applications to the fixed energy problem
• Periodic solutions of hamiltonian systems

This page was built for publication: On the number of periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \(\mathbb{R}^{2n}\)