Read BookThe Topology of Chaos Alice in Stretch and Squeezeland

Read The Topology of Chaos Alice in Stretch and Squeezeland



Read The Topology of Chaos Alice in Stretch and Squeezeland

Read The Topology of Chaos Alice in Stretch and Squeezeland

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Book Details :
Published on: 2012-09-05
Released on: 2012-09-05
Original language:
Read The Topology of Chaos Alice in Stretch and Squeezeland

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 experimental 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 experimenters 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. The Topology of Chaos: Alice in Stretch and Squeezeland ... Buy The Topology of Chaos: Alice in Stretch and Squeezeland on FREE ... The Topology of Chaos: Alice in Stretch and Squeezeland and over one million ... The Topology of Chaos: Alice in Stretch and Squeezeland ... The Topology of Chaos: Alice in Stretch and Squeezeland ... note taking and highlighting while reading The Topology of Chaos: Alice in Stretch and Squeezeland. The Topology of Chaos: Alice in Stretch and Squeezeland ... The Topology of Chaos: Alice in Stretch and Squeezeland has 2 available editions to ... The Topology of Chaos: Alice in Stretch and Squeezeland by Robert ... The Topology of Chaos: Alice in Stretch and Squeezeland The Topology of Chaos: Alice in Stretch and Squeezeland. Robert Gilmore ... The Topology of Chaos responds to the fundamental challenge of chaotic systems by ... The topology of chaos : Alice in stretch and squeezeland ... ... The Topology of Chaos responds to the fundamental ... worldcat.org/oclc/49902166 The topology of chaos : Alice in stretch and squeezeland ... The Topology of Chaos: Alice in Stretch and Squeezeland ... The Topology of Chaos: Alice in Stretch and Squeezeland 2nd ... the Topology of Chaos has been a valuable ... The Topology of Chaos: Alice in Stretch and Squeezeland. The Topology of Chaos: Alice in Stretch and Squeezeland by ... The Topology of Chaos has 2 ratings and 1 review. ... Start by marking The Topology of Chaos: Alice in Stretch and Squeezeland as Want to Read: The Topology of Chaos: Alice in Stretch and Squeezeland ... ... "The Topology of Chaos: Alice in Stretch and Squeezeland" 2012 ISBN ... "The Topology of Chaos: Alice in Stretch and Squeezeland" 2012 ISBN ... The Topology of Chaos: Alice in Stretch and Squeezeland AbeBooks.com: The Topology of Chaos: Alice in Stretch and Squeezeland (9780471408161) ... The Topology of Chaos: Alice in Stretch and Squeezeland. ISBN 13: ... The Topology of Chaos: Alice in Stretch and Squeezeland ... The Topology of Chaos: Alice in Stretch and Squeezeland. Copyright 2002 John ... The Topology of Chaos responds to the fundamental challenge of chaotic ...
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