Bifurcation of homoclinic solutions for Hamiltonian systems

DOI10.4171/ZAA/1121zbMath1028.37034WikidataQ119521013 ScholiaQ119521013MaRDI QIDQ1811435

Yanyan Li

Publication date: 15 January 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

bifurcationvariational methodshomoclinic solutionsHamiltonian system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05) Applications of operator theory to differential and integral equations (47N20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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• A variational approach to homoclinic orbits in Hamiltonian systems
• First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
• Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits
• Existence of homoclinic solutions for Hamiltonian systems
• Homoclinic orbits of a Hamiltonian system
• Homoclinic orbits for first order Hamiltonian systems
• Bifurcation into spectral gaps
• Existence of infinitely many homoclinic orbits in Hamiltonian systems

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