We show how to compute families of periodic solutions of conservative systems with two-
point boundary value problem continuation software. The computations include detection of …

Poincaré's program for the global analysis of a dynamical system starts by considering
simple solutions, such as equilibria and periodic orbits, together with their corresponding …

The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

We study the global dynamics of the jovian Trojan asteroids by means of the frequency map
analysis. We find and classify the main resonant structures that serve as skeleton of the …

We present an efficient numerical method for computing Fourier--Taylor expansions of (un)
stable manifolds associated with hyperbolic periodic orbits. Three features of the method are …

This paper discusses two alternative models to the Restricted Three Body Problem (RTBP)
for the motion of a massless particle in the Earth-Moon system. These models are the …

This paper considers two point boundary value problems for conservative systems defined
in multiple coordinate systems, and develops a flexible a posteriori framework for computer …

We investigate the long time stability in Nekhoroshev's sense for the Sun–Jupiter–Saturn
problem in the framework of the problem of three bodies. Using computer algebra in order to …

The computation, starting from basic principles, of chemical reaction rates in realistic
systems (with three or more degrees of freedom) has been a longstanding goal of the …

Solar sails change the natural dynamics of systems: Trajectories that are driven by
gravitational forces can be displaced and changed because of the effect of Solar Radiation …