A Note on Homoclinic Orbits for Second Order Hamiltonian Systems

2014/09/21 by Li, Bingyu, Li, Fengying, Wu, Donglun +1
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.5970

Abstract

In this paper, we study the existence for the homoclinic orbits for the second order Hamiltonian systems. Under suitable conditions on the potential V, we apply the direct method of variations and the Fourier analysis to prove the existence of homoclinc orbits.

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