Discrete Dynamical Systems, Bifurcations and Chaos in Economics

✍ Scribed by Wei-Bin Zhang (Eds.)

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Leaves: 459
• Series: Mathematics in Science and Engineering 204
• Edition: 1
• Category: Library

✦ Synopsis

This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics.

Key Features:

В·A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. В·Mathematical definitions and theorems are introduced in a systematic and easily accessible way. В·Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. В·

✦ Table of Contents

Content:
Preface
Pages v-vi
Wei-Bin Zhang

Chapter 1 Difference equations in economics Original Research Article
Pages 1-11

Chapter 2 Scalar linear difference equations Original Research Article
Pages 13-77

Chapter 3 One-dimensional dynamical economic systems Original Research Article
Pages 79-134

Chapter 4 Time-dependent solutions of scalar systems Original Research Article
Pages 135-183

Chapter 5 Economic bifurcations and chaos Original Research Article
Pages 185-225

Chapter 6 Higher dimensional difference equations Original Research Article
Pages 227-303

Chapter 7 Higher dimensional economic dynamics Original Research Article
Pages 305-383

Chapter 8 Epilogue Original Research Article
Pages 385-390

Appendix
Pages 391-426

Bibliography
Pages 427-437

Index
Pages 439-448