Existence of homoclinic solutions to periodic orbits in a center manifold

DOI10.1016/j.jde.2004.03.030zbMath1059.37046OpenAlexW2167841308MaRDI QIDQ1877855

Vittorio Coti Zelati, Marta Macrì

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.030

zbMATH Keywords

variational methodHamiltonian systemsaddle-center equilibrium

Mathematics Subject Classification ID

Related Items (6)

Generalized homoclinic solutions of a coupled Schrödinger system under a small perturbation ⋮ Parameterized center manifold for unfolding bifurcations with an eigenvalue \(+1\) in \(n\)-dimensional maps ⋮ 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 ⋮ An existence result for homoclinic solutions to a nonlinear second-order ODE through differential inequalities

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