Phase transitions are among the most impressive phenomena occurring in nature. They are
an example of emergent behavior, ie, of collective properties having no direct counterpart in …

Nekhoroshev Estimates for Quasi-convex Hamiltonian Systems Page 1 nek-1 12.1.2002 20:40
Version 3.1, July 25, 1992 Math. Z. 213 (1993) 187–216 Nekhoroshev Estimates for Quasi-convex …

In the past several decades many significant results in averaging for systems of ODE's have
been obtained. These results have not attracted a tention in proportion to their importance …

We consider an n-degrees of freedom Hamiltonian system near an elliptic equilibrium point.
The system is put in normal form (up to an arbitrary order and with respect to some …

The aim of the series is to present new and important developments in pure and applied
mathematics. Well established in the community over two decades, it offers a large library of …

We study the dynamics in the neighborhood of an invariant torus of a nearly integrable
system. We provide an upper bound to the diffusion speed, which turns out to be of …

The betatronic motion of a particle in a circular accelerator is analysed using the transfer
map description of the magnetic lattice. In the linear case the transfer matrix approach is …

The time evolution toward equipartition of energy is numerically investigated in nonlinear
Hamiltonian systems with a large number N of degrees of freedom. The relaxation process is …

The adiabatic invariant theory in Classical Mechanics emerged from a very rich, but
somewhat murky, sea of analogies with other types of problems in Theoretical Physics. We …

Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …