Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method

DOI10.1134/S1560354710020103zbMath1203.37098MaRDI QIDQ618198

Sumit K. Garg

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

Melnikov methodtransverse homoclinic orbitshyperbolic KAM tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (1)

Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation

Cites Work

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• Transversal Homoclinic Orbits in an Integrable System
• On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems

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