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The Topology of Chaos: Alice in Stretch and Squeezeland

Robert Gilmore

€ 164.88

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Description for The Topology of Chaos: Alice in Stretch and Squeezeland Hardcover. Innovative methods for the analysis of chaotic systems, in this second edition completed by a broad introduction for the non expert, additional chapters on embeddings, bounding tori, and the representation theory for strange attractors, and frequently asked questions. Num Pages: 618 pages, Illustrations. BIC Classification: PBPH. Category: (P) Professional & Vocational. Dimension: 248 x 177 x 33. Weight in Grams: 1300.
A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required to identify and classify a strange attractor can be extracted from experimental data.
In its first edition, the Topology of Chaos has been a valuable resource for physicist and mathematicians interested in the topological analysis of dynamical systems. Since its publication in 2002, important theoretical and ... Read moreexperimental advances have put the topological analysis program on a firmer basis. This second edition includes relevant results and connects the material to other recent developments. Following significant improvements will be included:
* A gentler introduction to the topological analysis of chaotic systems for the non expert which introduces the problems and questions that one commonly encounters when observing a chaotic dynamics and which are well addressed by a topological approach: existence of unstable periodic orbits, bifurcation sequences, multistability etc.
* A new chapter is devoted to bounding tori which are essential for achieving generality as well as for understanding the influence of boundary conditions.
* The new edition also reflects the progress which had been made towards extending topological analysis to higher-dimensional systems by proposing a new formalism where evolving triangulations replace braids.
* There has also been much progress in the understanding of what is a good representation of a chaotic system, and therefore a new chapter is devoted to embeddings.
* The chapter on topological analysis program will be expanded to cover traditional measures of chaos. This will help to connect those readers who are familiar with those measures and tests to the more sophisticated methodologies discussed in detail in this book.
* The addition of the Appendix with both frequently asked and open questions with answers gathers the most essential points readers should keep in mind and guides to corresponding sections in the book. This will be of great help to those who want to selectively dive into the book and its treatments rather than reading it cover to cover.

What makes this book special is its attempt to classify real physical systems (e.g. lasers) using topological techniques applied to real date (e.g. time series). Hence it has become the experimenter?s guidebook to reliable and sophisticated studies of experimental data for comparison with candidate relevant theoretical models, inevitable to physicists, mathematicians, and engineers studying low-dimensional chaotic systems.
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Product Details

Format

Hardback

Publication date

2011

Publisher

Wiley-VCH Verlag GmbH Germany

Number of pages

618

Condition

New

Number of Pages

618

Place of Publication

Berlin, Germany

ISBN

9783527410675

SKU

V9783527410675

Shipping Time

Usually ships in 15 to 20 working days

Ref

99-15

About Robert Gilmore

ROBERT GILMORE, PhD, is a professor in the Physics Department of Drexel University, Philadelphia, Pennsylvania. MARC LEFRANC, PhD, is a researcher at the Centre National de la Recherche Scientifique in the Laboratoire de Physique des Lasers, Atomes, Molecules at the Universite des Sciences et Technologies de Lille, France. The authors are internationally recognized leaders in the field who ... Read more

Reviews for The Topology of Chaos: Alice in Stretch and Squeezeland

On the first edition "A short review can only hint at the wealth of ideas here...highly recommended." (Choice, Vol. 40, No. 7, March 2003) "In this third book Gilmore and Lefranc step one more rung up the ladder of dynamical complexity..." (American Journal of Physics, Vol. 71, No. 5, May 2003) ... Read more

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The Topology of Chaos: Alice in Stretch and Squeezeland

Robert Gilmore

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