Homoclinic and heteroclinic orbits for a class of Hamiltonian systems

DOI10.1007/BF02163262zbMath0791.34042MaRDI QIDQ1315046

Paul H. Rabinowitz

Publication date: 1993

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

calculus of variationsHamiltonian systemstructure of homoclinic and heteroclinic solutions

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Variational problems in infinite-dimensional spaces (58E99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

On the existence of homoclinic solutions for almost periodic second order systems, On the heteroclinic connection problem for multi-well gradient systems, On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems, Homoclinic orbits at infinity for second order conservative systems, Unnamed Item, Heteroclinic solutions for nonautonomous EFK equations, Existence of heteroclinic solutions for the prescribed curvature equation, Existence of homoclinic solutions for a class of second order systems, Monotone heteroclinic solutions to non-autonomous equations via phase plane analysis, Classification of the solitary waves in coupled nonlinear Schrödinger equations, On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems, Heteroclinic connections for a double-well potential with an asymptotically periodic coefficient, Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems, Homoclinic orbits of a class of second-order difference equations, Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria, On the existence of heteroclinic connections, Periodic solutions and their connecting orbits of Hamiltonian systems., A multibump construction in a degenerate setting, Solutions of mountain pass type for double well potential systems, A tale of two approaches to heteroclinic solutions for Φ-Laplacian systems, Existence of heteroclinic solution for a class of non-autonomous second-order equation, Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems, Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems, Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation, Non-minimizing connecting orbits for multi-well systems

Cites Work

• A variational approach to homoclinic orbits in Hamiltonian systems
• Periodic and heteroclinic orbits for a periodic Hamiltonian system
• On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems
• The Bifurcation of Homoclinic and Periodic Orbits from Two Heteroclinic Orbits
• Chaotic Behaviour in Simple Dynamical Systems
• Stable and Random Motions in Dynamical Systems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item