An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum

Author:

Delshams Amadeu,Seara Teresa M.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference27 articles.

1. [AC89] Amick, C., Ching, S.C.E., Kadanoff, L.P., Rom-Kedar, V.: Beyond all Orders: Singular Perturbation in a Mapping. Preprint, 1989. to appear in J. Nonlin. Anal.

2. [AR64] Arnold, V.I.: Instability of dynamical systems with several degrees of freedom. Doklady Akad Nauk SSSR156 (1), 581–585 (1964)

3. [AKN88] Arnold, V.I., Kozlov, V.V., Neishtadt, A.I.: Dynamical systems III. Berlin, Heidelberg, New York: Springer 1988

4. [BD87] Benseny, A., Delshams, A.: Asymptotic estimates for the splitting of separatrices in systems with slow dynamics. In: European conference on Iteration Theory, Caldes de Malavella. Alsina C. et al. (eds.) Singapore: World Scientific 1989

5. [BO91] Benseny, A., Olivé, C.: High precision angles between invariant manifolds for rapidly forced hamiltonian systems. Preprint. To appear in proceedings EQUADIFF 91

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