Separatrix splitting from the point of view of symplectic geometry

DOI10.1007/BF02361217zbMath0915.58031MaRDI QIDQ1274068

Dmitrij V. Treshev

Publication date: 5 July 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

symplectic invariantclassification lemmahyberbolic tori

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Symplectic transversality and the Pego-Weinstein theory, An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum

Cites Work

• On the reducibility of linear differential equations with quasiperiodic coefficients
• Global bifurcations and chaos. Analytical methods
• Hyperbolic tori and asymptotic surfaces in Hamiltonian systems
• A refined formula for the separatrix splitting for the standard map
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• Generalized implicit function theorems with applications to some small divisor problems, II