- 11-17 Inmaculada Baldoma, Ernest Fontich, Marcel Guardia and Tere M. Seara
- Exponentially small splitting of separatrices for one and a half degrees of freedom Hamiltonian systems
Feb 8, 11
(auto. generated ps),
of related papers
Abstract. In this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide the asymptotic formula for the measure of the splitting for both the so-called regular and singular cases. In the latter we show that Melnikov theory fails to predict correctly the first order of the splitting of separatrices.