Fast homoclinic orbits for a class of damped vibration systems

DOI10.1007/s11587-020-00534-4MaRDI QIDQ6081941

Mohsen Timoumi, Wafa Selmi

Publication date: 29 November 2023

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

critical pointhomoclinic orbitdamped vibration system

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials
• Existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order nonautonomous systems in a weighted Sobolev space
• The existence of homoclinic solutions for second-order Hamiltonian systems with periodic potentials
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems
• Existence of homoclinic solutions for a class of second-order Hamiltonian systems
• Existence of homoclinic solution for the second order Hamiltonian systems.
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems
• On ground-state homoclinic orbits of a class of superquadratic damped vibration systems
• Even homoclinic orbits for a class of damped vibration systems
• Some results on connecting orbits for a class of Hamiltonian systems
• Existence of even homoclinic orbits for second-order Hamiltonian systems
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for some second order non-autonomous Hamiltonian systems without the globally superquadratic condition
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems