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Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems

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Publication:1891307
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DOI10.1006/jdeq.1995.1068zbMath0828.34032OpenAlexW2070451295MaRDI QIDQ1891307

John F. Toland, Boris Buffoni

Publication date: 30 May 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1068

zbMATH Keywords

periodic trajectoriesautonomous systemhomoclinic trajectories


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)


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Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system, Periodic and homoclinic orbits for Lorentz-Lagranian systems via variational methods, Shooting methods and topological transversality, Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics, Pulse-like spatial patterns described by higher-order model equations



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