The existence of homoclinic orbits in Hamiltonian inclusions

DOI10.1016/S0362-546X(99)00452-6zbMath0996.34037MaRDI QIDQ5945233

Jianxun Hu

Publication date: 11 April 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Clarke generalized gradienthomoclinic orbitHamiltonian inclusion

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Nonlinear second-order periodic systems with non-smooth potential ⋮ Positive periodic and homoclinic solutions for nonlinear differential equations with nonsmooth potential

Cites Work

• Unnamed Item
• A variational approach to homoclinic orbits in Hamiltonian systems
• First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
• Pseudo holomorphic curves in symplectic manifolds
• The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\)
• Morse theory for Lagrangian intersections
• Homoclinic orbits on compact manifolds
• Existence of multiple periodic orbits on star-shaped Lipschitz- Hamiltonian surfaces
• Optimization and nonsmooth analysis
• The unregularized gradient flow of the symplectic action

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