Homoclinic orbits to parabolic points

DOI10.1007/PL00001416zbMath0920.70017MaRDI QIDQ1364599

O. Diekmann

Publication date: 2 September 1999

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

transversalityPoincaré-Melnikov methoddegenrate periodic orbitsexistence of transversal homoclinic pointsnon-Hamiltonian perturbations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (5)

Nonhyperbolic homoclinic chaos. ⋮ Exponentially small splitting of separatrices in a weakly hyperbolic case ⋮ A practical use of the Melnikov homoclinic method ⋮ Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters ⋮ Stable curves asymptotic to a degenerate fixed point

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