Infinitely many homoclinic orbits for a class of hamiltonian systems with symmetry

摘要

This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of first order time dependent Hamiltonian systems z = JH_z(t,z) without any periodicity assumption on H, providing that H(t, z) is even with respect to z ∈ R~2N, superquadratic or subquadratic as |Z| → ∞, and satisfies some additional assumptions.