Dynamical Systems

by Jürgen Jost

This book presents a survey of the field of dynamical systems and its significance for research in complex systems and other fields, based on a careful analysis of specific important examples. It also explains the fundamental underlying mathematical concepts, with a particular focus on invariants of dynamical systems, including a systematic treatment of Morse-Conley theory. Entropy and related concepts in the topological, metric, measure theoretic and smooth settings and some connections with information theory are discussed, and cellular automata and random Boolean networks are presented as specific examples.

Genres: Theory, Science, Research, Mathematics, Algebra

208 pages, Paperback

First published January 1, 2005

About the author

Jürgen Jost is a German mathematician. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996.