Heteroclinic orbits for a class of hamiltonian systems on riemannian manifolds

Fei Liu; Jaume Llibre; Xiang Zhang

doi:https://doi.org/10.3934/dcds.2011.29.1097

Heteroclinic orbits for a class of hamiltonian systems on riemannian manifolds

Fei Liu, Jaume Llibre, Xiang Zhang

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

Let M be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H = 1/2 gij (q)pipj + V (t, q) be a smooth Hamiltonian on M, where (gij) is the inverse matrix of (gij). Under suitable assumptions we prove the existence of heteroclinic orbits of the induced Hamiltonian systems.

Original language	English
Pages (from-to)	1097-1111
Journal	Discrete and Continuous Dynamical Systems
Volume	29
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2011.29.1097
Publication status	Published - 1 Mar 2011

Keywords

Hamiltonian system
Heteroclinic orbit
Riemannian manifold
variational method

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title = "Heteroclinic orbits for a class of hamiltonian systems on riemannian manifolds",

abstract = "Let M be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H = 1/2 gij (q)pipj + V (t, q) be a smooth Hamiltonian on M, where (gij) is the inverse matrix of (gij). Under suitable assumptions we prove the existence of heteroclinic orbits of the induced Hamiltonian systems.",

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N2 - Let M be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H = 1/2 gij (q)pipj + V (t, q) be a smooth Hamiltonian on M, where (gij) is the inverse matrix of (gij). Under suitable assumptions we prove the existence of heteroclinic orbits of the induced Hamiltonian systems.

AB - Let M be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H = 1/2 gij (q)pipj + V (t, q) be a smooth Hamiltonian on M, where (gij) is the inverse matrix of (gij). Under suitable assumptions we prove the existence of heteroclinic orbits of the induced Hamiltonian systems.

KW - Hamiltonian system

KW - Heteroclinic orbit

KW - Riemannian manifold

KW - variational method

UR - https://ddd.uab.cat/record/150474

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M3 - Article

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SP - 1097

EP - 1111

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Heteroclinic orbits for a class of hamiltonian systems on riemannian manifolds

Abstract

Keywords

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