IT-eBooks.directory Facebook Icon Image IT-eBooks.directory Google Plus Icon Image IT-eBooks.directory Twitter Icon Image
IT-eBooks.directory Logo Image

Nonlinear Dynamics in Complex Systems

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

Nonlinear Dynamics in Complex Systems Image

Book details:

Publisher:Springer
Category: Springer
Author:
Edition:1
ISBN-10:3642335519
ISBN-13:9783642335518
Pages:250
Published:
Posted:Jun 30 2016
Language:English
Book format:PDF
Book size:10.19 MB

Book Description:

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-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work.This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.(J.A.Scott Kelso, excerpts from the foreword)

Download Link:

Related Books:

Modeling of Complex Systems Image

Modeling of Complex Systems

Jun 30 2016 In the field of aeronautical dynamics, this book offers readers a design tool which enables them to solve the different problems that can occur during the planning stage of a private project. The authors present a system for the modeling, design and calculation of the flying qualities of airplanes and drones, with a complete mathematical model by Matlab/Simulink. As such, this book may be useful for design engineers as well as for keen airplane amateurs.The authors expound the various phases involved in the design process of an airplane, starting with the formulation of a design tool, under th...

Abstraction in Artificial Intelligence and Complex Systems Image

Abstraction in Artificial Intelligence and Complex Systems

Jun 30 2016 Abstraction is a fundamental mechanism underlying both human and artificial perception, representation of knowledge, reasoning and learning. This mechanism plays a crucial role in many disciplines, notably Computer Programming, Natural and Artificial Vision, Complex Systems, Artificial Intelligence and Machine Learning, Art, and Cognitive Sciences. This book first provides the reader with an overview of the notions of abstraction proposed in various disciplines by comparing both commonalities and differences. After discussing the characterizing properties of abstraction, a formal model, theKRA...

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science Image

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science

Jun 30 2016 Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. This discovery is embellished with analytical formulas characterizing the fractal properties of characteristic functions, as well as explicit formulas for generating colorful and pedagogically revealing isomorphic basin tree diagrams. Many new results were derived and proved by uncovering subtle symmetries endowed by various subset...

Dynamics of Information Systems Image

Dynamics of Information Systems

Jun 30 2016 "Dynamics of Information Systems" presents state-of-the-art research explaining the importance of information in the evolution of a distributed or networked system. This book presents techniques for measuring the value or significance of information within the context of a system. Each chapter reveals a unique topic or perspective from experts in this exciting area of research. This volume is intended for graduate students and researchers interested in the most recent developments in information theory and dynamical systems, as well as scientists in other fields interested in the app...

IT-eBooks.directory