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