Synopsis
This is the revised and updated 3rd edition of this highly regarded textbook. A new chapter on controlling chaos has been added. Translations into Japanese, Chinese, German, Russian and Polish demonstrate the international interest in this book. From reviews of former editions:
In this book, Schuster gives a very useful summary of the main ideas of the subject as it now stands. Although a physist by training and style, he organizes his treatment by the logic of the mathematics, which is based on the concept of a dynamical system.
Students about to begin research into chaos, and practising scientists new to the subject, will find this book well worth reading. Nature
This text sets a standard which other authors and publishers in physics should strive to meet. Physics Bulletin
"synopsis" may belong to another edition of this title.
Review
The book gives a self–contained introduction to the modern nonlinear dynamics physicist′s point of view. The basic concepts and methods of this theory, such as Lyapunov exponents, dimensions, Kolmogorov′s entropy, strange attractors, KAM–theory, Arnold diffusion, renormalization group theory, etc. are introduced and explained on an elementary level. Moreover, the general models of transition from order to chaos (period doubling, intermittency, Ruele–Takens model), chaos in quantum systems and the problems of controlling chaos are also discussed. The above material is explained and illustrated by a great number of concrete examples of chaotic dynamical systems arising in applications for which a detailed theoretical and numerical study is given.
For reviews of earlier editions see Zbl 707.580004 (1st ed. 1984), Zbl 707.58003 (2nd ed. 1988), Zbl 709.58002 (1st reprint of 2nd ed. 1989
Serguei Zelik (Moskva)
published Zentralblatt für Mathematik, Springer, iss. April 2001
A self–contained introduction to the modern nonlinear dynamics
Serguei Zelik (Moskva)
published Zentralblatt für Mathematik, Springer, iss. April 2001
From the Back Cover
Heinz Georg Schuster Deterministic Chaos An Introduction This third edition of Deterministic Chaos has been updated and augmented with an extra chapter on "controlling chaos". Deterministic Chaos has been translated into Japanese, Chinese, Russian, Polish, and German, and has become a standard text for students and researchers who need a concise introduction into the field of chaos. From reviews of a previous edition: In this book, Schuster gives a very useful summary of the main ideas of the subject as it now stands. Although a physicist by training and style, he organizes his treatment by the logic of the mathematics, which is based on the concept of a dynamical system. Students about to begin research into chaos, and practising scientists new to the subject, will find this book well worth reading. Nature This text sets a standard which other authors and publishers in physics should strive to meet. Physics Bulletin
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Deterministic Chaos / Deterministic Chaos: An Introduction / An Introduction
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