© 2009

Complex and Chaotic Nonlinear Dynamics

Advances in Economics and Finance, Mathematics and Statistics

  • Comprehensive and interdisciplinary set of knowledge on complex dynamics

  • Numerous figures and simulations illustrate the subject matter

  • Short presentation of mathematical fundamentals in appendix


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


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.



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

Authors and affiliations

  1. 1.Dept. of EconomicsUniversity of Paris XNanterre CedexFrance

Bibliographic information