We consider fast quasiperiodic perturbations with two frequencies (1/ɛ, γ/$ epsiv;) of a
pendulum, where γ is the golden mean number. The complete system has a two …

A review is given of the works on the FPU problem that were particularly relevant in
connection with the metastability perspective, proposed in the year 1982. The idea is that …

The Fermi–Pasta–Ulam (FPU) problem is discussed in connection with its physical
relevance, and it is shown how apparently there exist only two possibilities: either the FPU …

An exact expression for the determinant of the splitting matrix is derived for three degrees of
freedom systems with three time scales: it allows us to analyze the asymptotic behaviour …

We consider the Landau-Teller model, which is a prototype for the exchanges of energy, in
molecular collisions, between internal degrees of freedom and those of the center of mass …

We give a review of some works where it is shown that certain quantum-like features are
exhibited by classical systems. Two kinds of problems are considered. The first one …

The specific heat of Fermi–Pasta–Ulam systems has until now been estimated through the
energy fluctuations of a suitable subsystem, and opposite answers were apparently …

The purpose of this chapter is to introduce in the simplest possible way the “elements”–ie the
basic facts, ideas, techniques and results–of Hamiltonian perturbation theory. The exposition …

We study the splitting of invariant manifolds of whiskered tori with two or three frequencies in
nearly-integrable Hamiltonian systems. We consider 2-dimensional tori with a frequency …

Hamiltonian perturbation theory explains how symplectic integrators work and, in particular,
why they can be used to measure extremely small energy exchanges between different …