Two homoclinic orbits for some second-order Hamiltonian systems

DOI10.12775/TMNA.2019.036zbMath1475.37069OpenAlexW2975242459MaRDI QIDQ2178762

E. Toon, Luiz F. O. Faria, Patricio Cerda, Pedro Ubilla

Publication date: 11 May 2020

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1569808829

zbMATH Keywords

variational methodsconcave-convexindefinite problem

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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• Multiple homoclinic orbits for a class of conservative systems
• Dual variational methods in critical point theory and applications
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Multiple Homoclinic Solutions for Second‐Order Perturbed Hamiltonian Systems
• Homoclinic orbits for a class of Hamiltonian systems

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