Titlebook: Introduction to the Perturbation Theory of Hamiltonian Systems; Dmitry Treschev,Oleg Zubelevich Book 2010 Springer-Verlag Berlin Heidelber

紋章

Width of the Stochastic Layer,In this chapter we use the separatrix map to study the stochastic layer, appearing in the vicinity of separatrices of near-integrable systems.

Grasping

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Splitting of Asymptotic Manifolds,aos in dynamical systems. In this chapter we present the Poincaré–Melnikov theory of splitting of asymptotic manifolds (separatrices) in Hamiltonian systems with one and a half degrees of freedom and in two-dimensional symplectic maps. Then we discuss the multidimensional version of this theory.