The Existence of Homoclinic Solutions for Second Order Hamiltonian System | Zendy

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The Existence of Homoclinic Solutions for Second Order Hamiltonian System

Author(s) -

Jie Gao

Publication year - 2011

Publication title -

international journal of wireless and microwave technologies

Language(s) - English

Resource type - Journals

eISSN - 2076-9539

pISSN - 2076-1449

DOI - 10.5815/ijwmt.2011.05.08

Subject(s) - homoclinic orbit , order (exchange) , hamiltonian system , mathematics , mathematical economics , mathematical analysis , physics , economics , bifurcation , quantum mechanics , nonlinear system , finance

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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