Bingyu Li, Fengying Li, Dong‐Lun Wu, Shiqing Zhang
Abstract
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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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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.
Key concepts: Homoclinic orbit, Hamiltonian system, Hamiltonian (control theory), Order (exchange), Fourier transform, Mathematics, Homoclinic bifurcation, Periodic orbits