Generic existence of nondegenerate homoclinic solutions

DOI10.1134/S1995080217020159zbMath1373.37149OpenAlexW2601000222MaRDI QIDQ2357042

Motreanu, Dumitru, Viorica V. Motreanu

Publication date: 16 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217020159

zbMATH Keywords

critical pointtransversalityHamiltonian systemhomoclinic

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

• Homoclinic solutions for a class of second order Hamiltonian systems with locally defined potentials
• Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials
• Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems
• Generic properties of nonlinear boundary value problems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Transversality Theory with Applications to Differential Equations
• An Infinite Dimensional Version of Sard's Theorem
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