The Existence of Homoclinic Solutions for Second Order Hamiltonian System
Автор: Jie Gao
Журнал: International Journal of Wireless and Microwave Technologies(IJWMT) @ijwmt
Статья в выпуске: 5 Vol.1, 2011 года.
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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.
Homoclinic solution, Hamiltonian system, critical point, （PS） condition
Короткий адрес: https://sciup.org/15012765
IDR: 15012765
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