Saddle connections and heteroclinic orbits for standard maps

DOI10.1088/0951-7715/9/3/003zbMath0886.58036OpenAlexW1978531640MaRDI QIDQ4377859

Héctor E. Lomelí

Publication date: 1996

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/9/3/003

zbMATH Keywords

Melnikov methodsaddle connectionsstandard mapstransversal heteroclinic connections

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

Heteroclinic orbits and flux in a perturbed integrable Suris map ⋮ Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps ⋮ Geometrical approach to the splitting of separatrix for standard-like mappings ⋮ Heteroclinic primary intersections and codimension one Melnikov method for volume-preserving maps

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