| Existence of Homoclinic Solution for a Class of Hamiltonian Systems |
| Received:June 17, 2010 Revised:November 20, 2010 |
| Key Words:
homoclinic orbit Hamiltonian system critical point Jensen inequality.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.40876010) and the Foundation for Excellent Young Talents in Higher Education Institutions of Anhui Province (Grant No.2009SQRZ166). |
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| Abstract: |
| We study the existence of homoclinic orbits for some Hamiltonian system. A homoclinic orbit is obtained as a limit of $2kT$-periodic solutions of a sequence of systems of differential equations. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.01.006 |
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