Infinitely Many Homoclinic Orbits for Hamiltonian Systems with Group Symmetries

Date

1999-10-12

Authors

Lee, Cheng

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems ż = JHz(t, z) without any periodicity assumption on H, providing that H(t, z) is G-symmetric with respect to z ∈ R2N, is superquadratic as |z| → ∞, and satisfies some additional assumptions.

Description

Keywords

Hamiltonian system, Homoclinic orbits

Citation

Lee, C. (1999). Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries. <i>Electronic Journal of Differential Equations, 1999</i>(42), pp. 1-12.

Rights

Attribution 4.0 International

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