This paper surveys applications of low-dimensional topology to the study of the dynamics of
iterated homeomorphisms on surfaces. A unifying theme in the paper is the analysis and …

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 …

Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur
through individual learning or through natural selection, the basis of evolution. Since the …

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 …

Some of these problems are well known. In fact, included are what I believe to be the three
greatest open problems of mathematics: the Riemann Hypothesis, the Poincar~ Conjecture …

Recognising that the economy is a complex system with boundedly rational interacting
agents, the book presents a theory of behavioral rationality and heterogeneous expectations …

This book provides a broad introduction to the subject of dynamical systems, suitable for a
one-or two-semester graduate course. In the first chapter, the authors introduce over a …

The Dynamic Energy Budget theory unifies the commonalties between organisms, as
prescribed by the implications of energetics, and links different levels of biological …

Mixed-mode oscillations (MMOs) are trajectories of a dynamical system in which there is an
alternation between oscillations of distinct large and small amplitudes. MMOs have been …

This monograph combines the knowledge of both the field of nonlinear dynamics and non-
smooth mechanics, presenting a framework for a class of non-smooth mechanical systems …