In this paper we deal with an alternative technique to study global dynamics in Hamiltonian
systems, the mean exponential growth factor of nearby orbits (MEGNO), that proves to be …

Quasihalo orbits are Lissajous trajectories librating about the well known halo orbits. The
main feature of these orbits is that they keep an exclusion zone in the same way that halo …

The classical Hill's problem is a simplified version of the restricted three body problem
(RTBP) where the distance of the two massive bodies (say, primary for the largest one and …

This paper first summarizes the theory of quasi-periodic bifurcations for dissipative
dynamical systems. Then it presents algorithms for the computation and continuation of …

We describe a numerical method for computing the linearized normal behaviour of an
invariant curve of a diffeomorphism of Bbb R n, n⩾ 2. In the reducible case, the method …

A low-dimensional model of general circulation of the atmosphere is investigated. The
differential equations are subject to periodic forcing, where the period is one year. A three …

In two previous papers [J. Differential Equations, 228 (2006), pp. 530-579; Discrete Contin.
Dyn. Syst. Ser. B, 6 (2006), pp. 1261-1300] we have developed fast algorithms for the …

This paper is a review of the problem of the constructive reduction of nonholonomic systems
with symmetries. The connection of reduction with the presence of the simplest tensor …

We study in detail (p) reheating after multi-field inflation models with a particular focus on N-
flation. We consider a variety of different couplings between the inflatons and the matter …

There is evidence that ice age cycles are paced by astronomical forcing, suggesting some
kind of synchronisation phenomenon. Here, we identify the type of such synchronisation and …