Multiplicity of homoclinic solutions for singular second-order conservative systems

DOI10.1017/S0308210500023349zbMath0868.34001MaRDI QIDQ5691322

Maria Letizia Bertotti, Louis Jeanjean

Publication date: 17 July 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

homoclinic solutionssingular second-order conservative systems

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (11)

Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems ⋮ Multiple homoclinics for a class of singular Hamiltonian systems ⋮ Homoclinic orbits for a class of singular second order Hamiltonian systems in \(\mathbb R^{3}\) ⋮ The shadowing chain lemma for singular Hamiltonian systems involving strong forces ⋮ Existence of homoclinic solutions for a class of second order systems ⋮ Homoclinic solutions for a class of second order nonautonomous singular Hamiltonian systems ⋮ On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions ⋮ Connecting orbits for some classes of almost periodic Lagrangian systems ⋮ Symmetrically homoclinic orbits for symmetric Hamiltonian systems ⋮ Homoclinic orbits for an almost periodically forced singular Newtonian system in R³ ⋮ Two families of infinitely many homoclinics for singular strong force Hamiltonian systems

Cites Work

• A minimax method for a class of Hamiltonian systems with singular potentials
• Existence and multiplicity of homoclinic orbits for potentials on unbounded domains
• Multiple homoclinic orbits for autonomous, singular potentials
• Unnamed Item

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