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 ...

In this paper we introduce a general methodology for computing (numerically) the normal form around a periodic orbit of an autonomous analytic Hamiltonian system. The process follows two steps. First, we expand the ...

The purpose of this paper is to study the dynamics near a reducible lower dimensional invariant tori of a finite-dimensional autonomous Hamiltonian system with $\ell$ degrees of freedom. We will focus in the case in ...

This paper focuses on some aspects of the motion of a small particle moving near the Lagrangian points of the Earth-Moon system. The model for the motion of the particle is the so-called Bicircular problem (BCP), that ...

We consider fast quasiperiodic perturbations of a pendulum with two frequencies $(1,\gamma)$, where $\gamma$ is the golden mean number. For small perturbations such that its Fourier coefficients (the ones associated to ...

The classical KAM methods, strongly supported on the use of canonical trans- formations in the action-angle context, are not effcient to be applied to a wide range of systems in which the Hamiltonian is known (for instance) ...

We follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the ...