书目名称 | Nonlinear Dynamics in Complex Systems | 副标题 | Theory and Applicati | 编辑 | Armin Fuchs | 视频video | | 概述 | Introduces mathematical tools of complexity and shows how these tools work in important applications useful for engineers, physicists, neuroscientists, psychologists, biologists, etc.Well structured p | 图书封面 |  | 描述 | .With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified..This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh | 出版日期 | Textbook 2013 | 关键词 | Chaos; Complex Systems; Complexity; Dynamical Methods; Mathematical Methods of Complexity; Nonlinear Diff | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-33552-5 | isbn_softcover | 978-3-642-42781-7 | isbn_ebook | 978-3-642-33552-5 | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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