Introduction to the Modern Theory of Dynamical Systems

Encyclopedia of Mathematics and its Applications #54

by Anatole Katok, Boris Hasselblatt

This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.

Genres: Mathematics

824 pages, Kindle Edition

First published April 28, 1995

About the author

Anatole Katok was the Director of the Center for Dynamical Systems and Geometry, Penn State University.