Català   Castellano   English
 Empreu aquest identificador per citar o enllaçar aquest ítem: http://hdl.handle.net/2117/862

Arxiu Descripció MidaFormat
 Títol: Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom Autor: Delshams Valdés, Amadeu ; Martínez-Seara Alonso, M. Teresa Data: 1997 Tipus de document: Article Resum: The splitting of separatrices for Hamiltonians with $1{1\over 2}$ degrees of freedom $$h(x,t /\varepsilon ) = h^{0}(x) + \mu \varepsilon ^{p} h^{1}(x,t /\varepsilon )$$ is measured. We assume that $h^{0}(x)= h^{0}(x_{1},x_{2})= x_{2}^{2}/2+V(x_{1})$ has a separatrix $x^{0}(t)$, $h^{1}(x,\theta )$ is $2\pi$-periodic in $\theta$, $\mu$ and $\varepsilon >0$ are independent small parameters, and $p\ge 0$. Under suitable conditions of meromorphicity for $x_{2}^{0}( u )$ and the perturbation $h^{1}(x^{0}( u ),\theta )$, the order $\ell$ of the perturbation on the separatrix is introduced, and it is proved that, for $p \ge \ell$, the splitting is exponentially small in $\varepsilon$, and is given in first order by the Melnikov function. URI: http://hdl.handle.net/2117/862 Apareix a les col·leccions: EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions. Articles de revistaDepartaments de Matemàtica Aplicada. Articles de revista Comparteix: