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

纹章

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

启发

元音

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.