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Replication of Chaos in Neural Networks, Economics and Physics

  • Marat Akhmet
  • Mehmet Onur Fen

Part of the Nonlinear Physical Science book series (NPS)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Marat Akhmet, Mehmet Onur Fen
    Pages 1-32
  3. Marat Akhmet, Mehmet Onur Fen
    Pages 33-100
  4. Marat Akhmet, Mehmet Onur Fen
    Pages 101-125
  5. Marat Akhmet, Mehmet Onur Fen
    Pages 127-156
  6. Marat Akhmet, Mehmet Onur Fen
    Pages 157-181
  7. Marat Akhmet, Mehmet Onur Fen
    Pages 183-264
  8. Marat Akhmet, Mehmet Onur Fen
    Pages 265-310
  9. Marat Akhmet, Mehmet Onur Fen
    Pages 311-405
  10. Marat Akhmet, Mehmet Onur Fen
    Pages 407-440
  11. Marat Akhmet, Mehmet Onur Fen
    Pages 441-457

About this book

Introduction

This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

Keywords

Deterministic Chaos-Entrainment by Chaos- Equation-Non-Linear Dynamics-Mechanical Models-Economic Models Neural Network-Chaos Control-Chaos Replication-Differential Equation-Hybrid

Authors and affiliations

  • Marat Akhmet
    • 1
  • Mehmet Onur Fen
    • 2
  1. 1.Department of MathematicsMiddle East Technical UniversityAnkaraTurkey
  2. 2.Neuroscience InstituteGeorgia State UniversityAtlantaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-47500-3
  • Copyright Information Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2016
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-47499-0
  • Online ISBN 978-3-662-47500-3
  • Series Print ISSN 1867-8440
  • Series Online ISSN 1867-8459
  • Buy this book on publisher's site
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