Global homoclinic bifurcation for damped systems

DOI10.1007/BF02571911zbMath0826.34041OpenAlexW2085212385MaRDI QIDQ1894821

Ugo Bessi

Publication date: 29 November 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174736

zbMATH Keywords

turning pointhomoclinic orbitsdamped system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Multibump solutions of a class of second-order discrete Hamiltonian systems ⋮ Homoclinic and period-doubling bifurcations for damped systems ⋮ Chaotic orbits for systems of nonlocal equations ⋮ Genericity of the multibump dynamics for almost periodic Duffing-like systems ⋮ Multibump solutions for perturbations of periodic second order Hamiltonian systems

Cites Work

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• A variational approach to homoclinic orbits in Hamiltonian systems
• The concentration-compactness principle in the calculus of variations. The limit case. I
• An example of bifurcation to homoclinic orbits
• Solutions of minimal period for a class of convex Hamiltonian systems
• Some global results for nonlinear eigenvalue problems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• A variational proof of a Sitnikov-like theorem
• Topologie et équations fonctionnelles
• Nonlinear sturm‐lionville problems for second order ordinary differential equations

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