A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium

DOI10.1016/S0294-1449(97)80130-8zbMath0891.58034OpenAlexW2059943687MaRDI QIDQ1375387

Thomas J. Bartsch

Publication date: 10 March 1998

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1997__14_6_691_0

zbMATH Keywords

periodic orbitsHamiltonian systemsWeinstein-Moser theorems

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type, Periodic solutions of symmetric Hamiltonian systems, Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces, Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems, Index iteration theories for periodic orbits: old and new, Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria, Periodic Solutions of N-Vortex Type Hamiltonian Systems near the Domain Boundary, Index iteration theory for symplectic paths and multiple periodic solution orbits, Periodic solutions for the N-vortex problem via a superposition principle, Brake orbits of a reversible even Hamiltonian system near an equilibrium

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