This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

Symmetry has always played an important role in mechanics, from fundamental formulations
of basic principles to concrete applications. The theme of the book is to develop the basic …

Perturbation theory and in particular normal form theory has shown strong growth during the
last decades. So it is not surprising that we are presenting a rather drastic revision of the first …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 1 aims to
describe the recent progress in nonlinear differential equations and nonlinear dynamical …

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 …

Unfoldings of quasi-periodic tori in reversible systems Page 1 Journal of Dynamics and
Differential Equations, VoL 7, No. 1, 1995 Unfoldings of Quasi-periodic Tori in Reversible …

This paper includes two parts. In the first part, we first focus on quasi-periodic time
dependent perturbations of one-dimensional quasi-periodically forced systems with …

The authors consider applications of singularity theory and computer algebra to bifurcations
of Hamiltonian dynamical systems. They restrict themselves to the case were the following …

The goal of the paper is to develop a systematic approach to the study of (possibly
degenerate) singularities of integrable systems and their structural stability. Following …