Exploració per tema "KAM theory"
Ara es mostren els items 1-5 de 5
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A new approach to the parameterization method for Lagrangian tori of hamiltonian systems
(2016-10-18)
Article
Accés obertWe compute invariant Lagrangian tori of analytic Hamiltonian systems by the parameterization method. Under Kolmogorov’s non-degeneracy condition, we look for an invariant torus of the system carrying quasi-periodic motion ... -
Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems
(2008-12-08)
Article
Accés obertIn 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
Accés obertWe 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
Accés obertWe 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
Accés obertThis 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 ...