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Exponentially small splitting of separatrices for area-preserving maps. (English) Zbl 1160.37381

Summary: We discuss some recent lower and upper bounds for the splitting of separatrices for close-to-identity area-preserving maps.

MSC:

37J10 Symplectic mappings, fixed points (dynamical systems) (MSC2010)
37G99 Local and nonlocal bifurcation theory for dynamical systems
37J20 Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems
70H05 Hamilton’s equations
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