Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222110 | Nonlinear Analysis: Real World Applications | 2018 | 19 Pages |
Abstract
In this paper we study the existence of infinitely many homoclinic orbits for a class of first order Hamiltonian systems zÌ=JHz(t,z), where the Hamiltonian function H(t,z) is nonperiodic in t and only locally defined near the origin with respect to z. Under some mild conditions on H, we show that these Hamiltonian systems possess a sequence of homoclinic orbits near the origin.
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Authors
Qingye Zhang, Chungen Liu,