SPLITTING AND MELNIKOV POTENTIALS IN HAMILTONIAN SYSTEMS

DOI10.1142/9789812792099_0007zbMath1071.37512OpenAlexW2027790215MaRDI QIDQ2724628

Pere Gutiérrez, Amadeu Delshams

Publication date: 2000

Published in: Hamiltonian Systems and Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812792099_0007

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems ⋮ An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum

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