Complex and Chaotic Nonlinear Dynamics

Advances in Economics and Finance, Mathematics and Statistics

  • Thierry Vialar

Table of contents

  1. Front Matter
    Pages i-11
  2. InvestigationMethods of Complex and Chaotic Nonlinear Dynamics

  3. Statistics of Complex and Chaotic Nonlinear Dynamics: Invariants and Rare Events

  4. Spectral and Time-Frequency Theories and Waveforms: Regularity and Singularity

  5. Economic Growth, Instability and Nonlinearity

  6. Back Matter
    Pages 633-752

About this book

Introduction

Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena.

This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing.

Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.

 

Keywords

Chaotic, Complex Dynamics Hyperbolicity MATLAB Nonlinear STATISTICA Simulation Singularity Waveforms, Signal

Authors and affiliations

  • Thierry Vialar
    • 1
  1. 1.Dept. of EconomicsUniversity of Paris XNanterre CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-85978-9
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-540-85977-2
  • Online ISBN 978-3-540-85978-9
  • About this book