Homoclinic orbit to a center manifold
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Publication:1404466
DOI10.1007/s00526-002-0162-0zbMath1187.70039OpenAlexW2003908701MaRDI QIDQ1404466
Publication date: 21 August 2003
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-002-0162-0
Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)
Related Items (8)
Existence of homoclinic solutions to periodic orbits in a center manifold ⋮ Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations ⋮ Generalized homoclinic solutions of a coupled Schrödinger system under a small perturbation ⋮ Existence of generalized heteroclinic solutions of the coupled Schrödinger system under a small perturbation ⋮ Homoclinic solutions to invariant tori in a center manifold ⋮ Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in ℝ⁴ ⋮ Homoclinic orbits in families of hypersurfaces with hyperbolic periodic orbits ⋮ Homoclinic orbits with many loops near a \(0^2 i\omega\) resonant fixed point of Hamiltonian systems
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