Heteroclinics for a reversible Hamiltonian system

DOI10.1017/S0143385700008178zbMath0818.34025OpenAlexW2042591085MaRDI QIDQ4316578

Paul H. Rabinowitz

Publication date: 1994

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700008178

zbMATH Keywords

periodic solutionsHamiltonian systemheteroclinic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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 (22)

Connecting orbits for Newtonian-like \(N\)-body problems ⋮ Generic-type results for chaotic dynamics in equations with periodic forcing terms ⋮ Instability of closed orbits obtained by minimization* ⋮ Existence of homoclinic solutions to periodic orbits in a center manifold ⋮ Heteroclinic chains for a reversible hamiltonian system ⋮ Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ On the existence of multi-transition solutions for a class of elliptic systems ⋮ Homoclinic solutions to invariant tori in a center manifold ⋮ Chaotic orbits for systems of nonlocal equations ⋮ Existence of infinitely many solutions for a class of Allen-Cahn equations in \(\mathbb R^2\) ⋮ Variational construction for heteroclinic orbits of the \(N\)-center problem ⋮ Periodic solutions and their connecting orbits of Hamiltonian systems. ⋮ Entire solutions in ${\mathbb{R}}^{2}$ for a class of Allen-Cahn equations ⋮ The spectrum of reversible minimizers ⋮ Connecting orbits for some classes of almost periodic Lagrangian systems ⋮ Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems ⋮ Invariant tori and topological entropy in Tonelli Lagrangian systems on the 2-torus ⋮ Subharmonic solutions in reversible non-autonomous differential equations ⋮ A variational approach to chaotic dynamics in periodically forced nonlinear oscillators ⋮ DEGENERATE EQUATIONS OF PENDULUM-TYPE ⋮ On the stochastic SIS epidemic model in a periodic environment

Cites Work

• Some results on connecting orbits for a class of Hamiltonian systems
• Chaotic Behaviour in Simple Dynamical Systems
• Calculus of variations in the large and classical mechanics
• On a Class of Functionals Invariant under a Z n Action

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