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arXiv · 1409.5970

A Note on Homoclinic Orbits for Second Order Hamiltonian Systems

Bingyu Li·Fengying Li·Donglun Wu·Shiqing Zhang
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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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Bingyu Li, Fengying Li, Donglun Wu, Shiqing Zhang. 2014-09-21. A Note on Homoclinic Orbits for Second Order Hamiltonian Systems. https://arxiv.org/abs/1409.5970

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