We study Livsic's problem of nding satisfying X = where is a given function and X is a given Anosov vector eld. We show that, if is a continuous solution and X; are analytic, then is analytic. We useâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1999

We consider the electromagnetic field in a cavity with a periodically oscillating perfectly reflecting boundary and show that the mathematical theory of circle maps leads to several physicalâ€¦ (More)

We study invariant curves in standard-like maps conjugate to rigid rotation with complex frequencies. The main goal is to study the analyticity domain of the functions defined perturbatively byâ€¦ (More)

We study transport properties in a simple model of two-dimensional roll convection under a slow periodic (period of order 1/ varepsilon >>1) perturbation. The problem is considered in terms ofâ€¦ (More)

We study numerically the disappearance of normally hyperbolic invariant tori in quasiperiodic systems and identify a scenario for their breakdown. In this scenario, the breakdown happens because twoâ€¦ (More)

Siegel disks are domains around fixed points of holomorphic maps in which the maps are locally linearizable (i.e., become a rotation under an appropriate change of coordinates which is analytic in aâ€¦ (More)

We study the algebraic structure of several diieomorphism groups in S n. We show that all diieomorphisms can be written as a nite product of diieomorphisms which have certain symmetries. Since theâ€¦ (More)

The goal of this lecture is to review several developments in classical mechanics that have taken place in the last years, that will t in the time of the talk and that I have become aware of.â€¦ (More)