Discrete Dynamical Systems

  • Oded Galor

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Oded Galor
    Pages 1-26
  3. Oded Galor
    Pages 107-113
  4. Oded Galor
    Pages 115-145
  5. Back Matter
    Pages 147-153

About this book

Introduction

This book provides an introduction to discrete dynamical systems -- a framework of analysis commonly used in the fields of biology, demography, ecology, economics, engineering, finance, and physics. The book characterizes the fundamental factors that govern the qualitative and quantitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors the govern the evolution of state variables in the elementary context of one-dimensional, first-order, linear, autonomous systems. The fundamental insights about the forces that affect the evolution of these elementary systems are subsequently generalized, and the determinants of the trajectory of multi-dimensional, nonlinear, higher-order, non-autonomous dynamical systems are established.

Keywords

Discrete Dynamical Systems Higher-order Systems Non-linear Dynamical Systems dynamical systems dynamische Systeme

Authors and affiliations

  • Oded Galor
    • 1
  1. 1.Department of EconomicsBrown University64 Waterman StUSA

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-36776-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-540-36775-8
  • Online ISBN 978-3-540-36776-5
  • About this book