1.1. This article is an exposition of a recent remarkable discovery in the theory of dynamical
systems-the so-called Feigenbaum universality. This discovery lies on the boundary of …

What enables individually simple insects like ants to act with such precision and purpose as
a group? How do trillions of neurons produce something as extraordinarily complex as …

The purpose of the present chapter is twofold: first, to review the experiments carried out so
far to test the theoretical predictions concerning noise-induced transitions. Second, we shall …

Several distinctive aspects make Dynamical Systems unique, including: treating the subject
from a mathematical perspective with the proofs of most of the results includedproviding a …

A new edition of this well-established monograph, this volume provides a comprehensive
overview over the still fascinating field of chaos research. The authors include recent …

One-dimensional dynamics has developed in the last decades into a subject in its own right.
Yet, many recent results are inaccessible and have never been brought together. For this …

The preface is that part of a book which is written last, placed? rst, and read least. Alfred J.
Lotka Elements of Physical Biology Baltimore: Williams & Wilkins Company 1925 The …

By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to
equip the student with the mathematical know-how needed to appreciate stability theory and …

This is a self-contained introduction to the classical theory of homoclinic bifurcation theory,
as well as its generalizations and more recent extensions to higher dimensions. It is also …

Iterations of continuous maps of an interval to itself serve as the simplest examples of
models for dynamical systems. These models present an interesting mathematical structure …