Now showing items 1-4 of 4

• #### Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems ﻿

(2008-12-08)
Article
Open Access
In the present paper we consider the case of a general $\cont{r+2}$ perturbation, for $r$ large enough, of an a priori unstable Hamiltonian system of $2+1/2$ degrees of freedom, and we provide explicit conditions on it, ...
• #### KAM theory and a partial justification of Greene's criterion for non-twist maps ﻿

(1999)
Article
Open Access
We consider perturbations of integrable area preserving non twist maps of the annulus those are maps in which the twist condition changes sign These maps appear in a variety of applications notably transport in atmospheric ...
• #### Lindstedt series for lower dimensional tori ﻿

(1995)
Article
Open Access
We consider the existence and effective computation of low-dimensional (less independent frequencies than degrees of freedom) invariant tori of a near-integrable system. Lindstedt method is a systematic procedure to compute ...
• #### On quasiperiodic perturbations of elliptic equilibrium points ﻿

(1995)
Article
Open Access
This work focusses on quasiperiodic time-dependent perturbations of ordinary differential equations near elliptic equilibrium points. This means studying  \dot{x}=(A+\varepsilon Q(t,\varepsilon))x+\varepsilon ...