Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries

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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
Publication statusPublished - 1999 Oct 12


All Science Journal Classification (ASJC) codes

  • Analysis

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