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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
Reviews
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)
Authors and Affiliations
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Faculty of Physics, Saratov State University, Saratov, Russia
Vadim S. Anishchenko, Vladimir Astakhov, Tatjana Vadivasova
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Center for Neurodynamics, University of Missouri at St. Louis, St. Louis, USA
Alexander Neiman
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Institut Physik LS Stochastische Prozesse, Humboldt-Universität Berlin, Berlin, Germany
Lutz Schimansky-Geier
Bibliographic Information
Book Title: Nonlinear Dynamics of Chaotic and Stochastic Systems
Book Subtitle: Tutorial and Modern Developments
Authors: Vadim S. Anishchenko, Vladimir Astakhov, Tatjana Vadivasova, Alexander Neiman, Lutz Schimansky-Geier
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-540-38168-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-38164-8Published: 09 February 2007
Softcover ISBN: 978-3-642-42467-0Published: 06 December 2014
eBook ISBN: 978-3-540-38168-6Published: 20 July 2007
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 2
Number of Pages: XIII, 446
Topics: Complex Systems, Mathematical Methods in Physics, Probability Theory and Stochastic Processes, Applications of Mathematics, Vibration, Dynamical Systems, Control, Statistical Physics and Dynamical Systems