As demonstrated by the success of James Gleick's recent book [1987], there is considerable
interest in the scientific community and among the general public in “chaos” and the “new …

In this book we will study equations of the following form x= f (x, t; µ),(0.0. 1) and x↦→ g (x;
µ),(0.0. 2) with x∈ U⊂ Rn, t∈ R1, and µ∈ V⊂ Rp where U and V are open sets in Rn and …

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 …

The concept of adaptively rational equilibrium (ARE) is introduced. Agents adapt their beliefs
over time by choosing from a finite set of different predictor or expectations functions. Each …

Предисловие 8 ноября 2009 г. ушёл из жизни выдающийся физик ХХ века академик
Виталий Лазаревич Гинзбург. В его работах, посвящённых перспективам развития …

This volume studies the dynamics of iterated holomorphic mappings from a Riemann
surface to itself, concentrating on the classical case of rational maps of the Riemann sphere …

T:(xy)-(l+ y-ax2, bx), a= 1.4, b= 0.3 as the simplest smooth example when computer
simulations indicate the existence of a strange attractor, similar to those obtained by Lorenz …

This paper is about statistical properties such as decay of correlations for chaotic dynamical
systems. Our goal is a systematic understanding of these properties for a class of discrete …

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 …

In broad terms, the goal of dynamics is to describe the long-term evolution of systems for
which an" infinitesimal" evolution rule, such as a differential equation or the iteration of a …