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Jie Gao

Work place: School of Mathematics and Information Sciences, Weifang University, Weifang, Shandong 261061, China

E-mail: gaojie71@126.com

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Author Articles
The Existence of Homoclinic Solutions for Second Order Hamiltonian System

By Jie Gao

DOI: https://doi.org/10.5815/ijwmt.2011.05.08, Pub. Date: 15 Oct. 2011

The research of homoclinic orbits for Hamiltonian system is a classical problem, it has valuable applications in celestial mechanics, plasma physis, and biological engineering. For example, homoclinic orbits rupture can yield chaos lead to more complex dynamics behaviour. This paper studies the existence of homoclinic solutions for a class of second order Hamiltonian system, we will prove this system exists at least one nontrivial homoclinic solution.

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