Críticas:
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. 1989Serguei Zelik (Moskva)published Zentralblatt f?r Mathematik, Springer, iss. April 2001
Reseña del editor:
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
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