Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems

Author:

Xing Jiamin,Yang Xue,Li Yong

Funder

Natural Science Foundation of Jilin Province

National Natural Science Foundation of China

National Key Research and Development Program of China

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference26 articles.

1. Proof of a theorem by A.N. Kolmogorov on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian;Arnold;Usp. Mat. Nauk,1963

2. Periodic orbits near equilibria;Barreira;Commun. Pure Appl. Math.,2010

3. The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces;Bartsch;Math. Ann.,1992

4. Topological Methods for Variational Problems with Symmetries;Bartsch,1993

5. A generalization of the Weinstein-Moser theorems on periodic orbits of a Hamiltonian system near an equilibrium;Bartsch;Ann. Inst. Henri Poincaré, Anal. Non Linéaire,1997

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