Article ID Journal Published Year Pages File Type
7222110 Nonlinear Analysis: Real World Applications 2018 19 Pages PDF
Abstract
In this paper we study the existence of infinitely many homoclinic orbits for a class of first order Hamiltonian systems ż=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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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