An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
- 1 December 1992
- journal article
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 150 (3) , 433-463
- https://doi.org/10.1007/bf02096956
Abstract
No abstract availableKeywords
This publication has 12 references indexed in Scilit:
- Exponentially small upper bounds for the splitting of separatrices for high frequency periodic perturbationsNonlinear Analysis, 1993
- Exponentially small splittings in Hamiltonian systemsChaos: An Interdisciplinary Journal of Nonlinear Science, 1991
- The splitting of separatrices for analytic diffeomorphismsErgodic Theory and Dynamical Systems, 1990
- Splitting of separatrices for standard and semistandard mappingsPhysica D: Nonlinear Phenomena, 1989
- Normalization of a Hamiltonian system near an invariant cycle or torusRussian Mathematical Surveys, 1989
- Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcationsContemporary Mathematics, 1988
- Dynamical Systems IIIPublished by Springer Nature ,1988
- Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsPublished by Springer Nature ,1983
- New aspects in the theory of stability of Hamiltonian systemsCommunications on Pure and Applied Mathematics, 1958
- The analytic invariants of an area‐preserving mapping near a hyperbolic fixed pointCommunications on Pure and Applied Mathematics, 1956