Nonlinear Dynamics of Chaotic and Stochastic Systems [Hardcover]

Vadim S. Anishchenko (Author), Vladimir Astakhov (Author), Alexander Neiman (Author), Tatjana Vadivasova (Author), Lutz Schimansky-Geier (Author)

Book Description

Publication Date: March 10, 2003 | ISBN-10: 3540424199 | ISBN-13: 978-3540424192

This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters.The present book can thus be used either as a textbook by graduate students or as a modern monograph by researchers in this field.

Editorial Reviews

Review

From the reviews: "The emphasis of the book is on applicable theory that will be of use in the interpretation of experimental or numerical results, along with a large number of examples that are drawn from many sources. In order for this book to be useful for a variety of scientists, the authors have tried to keep each part more or less self-contained, have avoided the use of formal mathematical proofs throughout and have included many examples, including many nonlinear circuits." (Mathematical Reviews, 2003h) "The book is in three parts; the first a tutorial overview, the second on deterministic systems and the third on stochastic systems. The tutorial overview is a whirlwind tour through Lyapunov exponents, homoclinic tangles, chaotic synchronization, stochastic self-sustained oscillations and much more. Such a comprehensive overview is excellent for researchers in Complex Systems who could use it as an extended dictionary. [...] The subsequent two parts of the book provide highly detailed descriptions and numerous references for researchers interested in studying nonlinear dynamical systems in the presence of noise. [...] I highly commend this book to all researchers with a serious interest in Complex Systems." (B.I. Henry, The Physicist, 39/6, 2002) From the reviews of the second edition: "This is the second edition of the original version published in 2002 … . The topics of this book are many aspects of finite dimensional complex deterministic and stochastic dynamical systems from a physicists’ perspective. Its value for mathematicians lies mainly in the fact that it presents an up-to-date account of currently relevant topics in physics. … The presentation includes many examples and references mainly to the physics literature." (Fritz Colonius, Zentralblatt MATH, Vol. 1125 (2), 2008) --This text refers to an alternate Hardcover edition.

From the Back Cover

This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters. The present book can thus be used either as a textbook by graduate students or as a modern monograph by researchers in this field. The second edition has been substantially enlarged to include sections on statistical properties of dynamical chaos, on effects of synchronization in oscillatory systems and on synchronization in living systems. --This text refers to an alternate Hardcover edition.

Product Details

• Hardcover: 385 pages
• Publisher: Springer (March 10, 2003)
• Language: English
• ISBN-10: 3540424199
• ISBN-13: 978-3540424192
• Product Dimensions: 9.5 x 6.3 x 1 inches
• Shipping Weight: 1.6 pounds
• Amazon Best Sellers Rank: #4,657,647 in Books (See Top 100 in Books)