Abstract CONTENTS Chapter I. Introduction Chapter II. Stability in the neighbourhood of a
periodic torus Chapter III. Stability for arbitrary initial conditions Chapter IV. Transpositions …

In this book we describe the basic principles, problems, and methods of cl-sical mechanics.
Our main attention is devoted to the mathematical side of the subject. Although the physical …

Pattern formation in physical systems is one of the major research frontiers of mathematics.
A central theme of this book is that many instances of pattern formation can be understood …

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 …

In this review article, we present in some detail new trends in application of asymptotic
techniques to mechanical problems. First we consider the various methods which allows for …

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-
time dynamical systems with concrete instruction on implementations (and example …

Many systems exhibit behaviour which can be described by three coupled oscillators.
Provided the coupling is not too strong, such systems can be modelled by maps of the two …

This paper develops the notion of a large type limit (LTL) describing the dynamical behavior
of heterogeneous markets with many trader types. It is shown that generic and persistent …

Many systems in science and engineering can be modeled as coupled or forced nonlinear
oscillators, which may possess quasi-periodic or phase-locked invariant tori. Since there …

Towards global models near homoclinic tangencies of dissipative diffeomorphisms Page 1
Nonlinearity Towards global models near homoclinic tangencies of dissipative diffeomorphisms …