Nonlinear Dynamics in Complex Systems

Theory and Applications for the Life-, Neuro- and Natural Sciences

AvArmin Fuchs

Häftad, Engelska, 2014

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Beskrivning

Concise and accessible, this introduction to the mathematical tools of non-linear dynamics and complex systems theory is aimed at researchers in engineering and the life sciences who are unfamiliar with the formulae, but recognize their analytical potency.

Produktinformation

Utgivningsdatum:2014-10-15
Mått:155 x 235 x 14 mm
Vikt:388 g
Format:Häftad
Språk:Engelska
Antal sidor:238
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642427817

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Recensioner i media

From the reviews: "The style of writing is makes the reading interesting. At the same time the author maintains the necessary mathematical rigor. A couple of very appealing features of this book are numerical procedures and computer simulations using the standard software MATLAB and solutions provided at the end of the book to the problems at the end of each chapter. These features make this book an excellent choice for both self-reading and for teaching a course and is a welcome addition to the literature ... ." (D. Subbaram Naidu, Amazon.com, November, 2013) "In a clear and unified approach, elementary notions and concepts of nonlinear dynamical systems are briefly presented, via simple examples, and then implemented in some advanced applications. The book is organized in three parts with each of them containing several chapters. ... chapters conclude with problems. ... The solutions to all proposed exercises are provided as well, in a corresponding section ... . I recommend this book for school and university libraries ... ." (Marius-Florin Danca, Mathematical Reviews, April, 2013)

Innehållsförteckning

Part I Nonlinear Dynamical Systems.- Introduction.- One-dimensional Systems.- Two-Dimensional Systems.- Higher-Dimensional Systems and Chaos.- Discrete Maps and Iterations in Space.- Stochastic Systems.- Part II: Model Systems.- Haken-Kelso-Bunz (HKB) Model.- Self-organization and Synergetics.- Neuronal Models.- Part III: Mathematical Basics.- Mathematical Basics.- The Coupled HKB System.- Numerical Procedures and Computer Simulations.- Solutions.