Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalElectronic Journal of Differential Equations
Volume1999
Publication statusPublished - 1999 Oct 12

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Homoclinic Orbit
Symmetry Group
Hamiltonian Systems
Variational Methods
Periodicity
First-order
Class

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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title = "Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries",
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.",
author = "Cheng Lee",
year = "1999",
month = "10",
day = "12",
language = "English",
volume = "1999",
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journal = "Electronic Journal of Differential Equations",
issn = "1072-6691",
publisher = "Texas State University - San Marcos",

}

Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries. / Lee, Cheng.

In: Electronic Journal of Differential Equations, Vol. 1999, 12.10.1999, p. 1-12.

Research output: Contribution to journalArticle

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