Splitting of Separatrices for (fast) Quasiperiodic Forcing
نویسنده
چکیده
At the end of the last century, H. Poincar e 7] discovered the phenomenon of sepa-ratrices splitting, which now seems to be the main cause of the stochastic behavior in Hamiltonian systems. He formulated a general problem of Dynamics as a perturbation of an integrable Hamiltonian system
منابع مشابه
Lower and Upper Bounds for the Splitting of Separatrices of the Pendulum under a Fast Quasiperiodic Forcing
Quasiperiodic perturbations with two frequencies (1/ε, γ/ε) of a pendulum are considered, where γ is the golden mean number. We study the splitting of the three-dimensional invariant manifolds associated to a twodimensional invariant torus in a neighbourhood of the saddle point of the pendulum. Provided that some of the Fourier coefficients of the perturbation (the ones associated to Fibonacci ...
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تاریخ انتشار 1995