Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium
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Publication:1776990
DOI10.1016/j.physd.2005.01.002zbMath1080.37068OpenAlexW2018447484MaRDI QIDQ1776990
Oksana Koltsova, Amadeu Delshams, Pere Gutiérrez, Lev M. Lerman
Publication date: 12 May 2005
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2005.01.002
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations ⋮ Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method ⋮ Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation ⋮ Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP ⋮ Homoclinic solutions to invariant tori in a center manifold ⋮ Vortex pairs on the triaxial ellipsoid: axis equilibria stability ⋮ On symplectic dynamics near a homoclinic orbit to 1-elliptic fixed point
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