This monograph aims to provide an advanced account of some aspects of dynamical
systems in the framework of general topology, and is intended for use by interested graduate …

1.1. Introduction to conjugacy problems for diffeomorphisms. This is a survey article on the
area of global analysis defined by differentiable dynamical systems or equivalently the …

Rich with examples and applications, this textbook provides a coherent and self-contained
introduction to ergodic theory, suitable for a variety of one-or two-semester courses. The …

Reissued in the Cambridge Mathematical Library this classic book outlines the theory of
thermodynamic formalism which was developed to describe the properties of certain …

The classical theory of partial differential equations is rooted in physics, where equations
(are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an …

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 …

This version differs from the Portuguese edition only in a few additions and many minor
corrections. Naturally, this edition raised the question of whether to use the opportunity to …

If one perturbs the analytic dynamical system zz on the Riemann sphere C to z-4 z2+ az for
small a, the following happens: Before perturbation the round unit circle C is invariant under …

Self-similar groups (groups generated by automata) appeared initially as examples of
groups that are easy to define but that enjoy exotic properties like nontrivial torsion …

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 …