Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems

DOI10.1007/BF02884733zbMath1016.70016OpenAlexW2033115135MaRDI QIDQ701593

Chengyue Li, Mingsheng Tong, Tian-You Fan

Publication date: 17 August 2003

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02884733

zbMATH Keywords

existencehomoclinic orbitsGordon-strong force conditionsecond-order singular periodic Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Homoclinic orbits for a singular second order Hamiltonian system
• Homoclinic and heteroclinic orbits for a class of Hamiltonian systems
• Multibump periodic solutions of a family of Hamiltonian systems
• Periodic solutions of a class of singular Hamiltonian systems
• Conservative Dynamical Systems Involving Strong Forces
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