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9783642424670

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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)

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