Examples of Hamiltonian systems with transversal homoclinic orbits

DOI10.1016/0375-9601(94)00952-LzbMath1020.34507WikidataQ126977477 ScholiaQ126977477MaRDI QIDQ1965403

D. K. Sharomov, Vassili Gelfreich

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Hamilton's equations (70H05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

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

Cites Work

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• Splitting of separatrices for the Chirikov standard map
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The separation of motions in systems with rapidly rotating phase
• A refined formula for the separatrix splitting for the standard map
• Beyond all orders: Singular perturbations in a mapping
• Splitting of separatrices for standard and semistandard mappings

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