A variational construction of chaotic trajectories for a reversible Hamiltonian system

DOI10.1006/jdeq.1998.3470zbMath0990.37046OpenAlexW2007886152MaRDI QIDQ1270019

Paul H. Rabinowitz, Sergey V. Bolotin

Publication date: 2 December 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3470

Mathematics Subject Classification ID

Related Items (12)

Existence of homoclinic solutions to periodic orbits in a center manifold ⋮ On energy transferring in a periodic pendulum lattice with analytic weak couplings ⋮ Asymptotic behavior of the Maupertuis action on a libration and tunneling in a double well ⋮ Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral ⋮ Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation ⋮ Separatrix maps in slow-fast Hamiltonian systems ⋮ HAMILTONIAN SYSTEMS WITH POSITIVE TOPOLOGICAL ENTROPY AND CONJUGATE POINTS ⋮ Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system ⋮ Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system ⋮ Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system ⋮ Speed selection for coupled wave equations ⋮ Standing Waves Joining with Turing Patterns in FitzHugh–Nagumo Type Systems

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