Discrete Dynamical Systems, Bifurcations and Chaos in Economics (Volume 204) (Mathematics in Science and Engineering, Volume 204)

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:·A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. ·Mathematical definitions and theorems are introduced in a systematic and easily accessible way. ·Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. ·Lively illustrations with numerous figures. ·Numerous simulation to see paths of economic dynamics. ·Comprehensive treatment of the subject with a comprehensive and easily accessible approach. Key Features:·A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. ·Mathematical definitions and theorems are introduced in a systematic and easily accessible way. ·Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. ·Lively illustrations with numerous figures. ·Numerous simulation to see paths of economic dynamics. ·Comprehensive treatment of the subject with a comprehensive and easily accessible approach. 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:

· A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics.
· Mathematical definitions and theorems are introduced in a systematic and easily accessible way.
· Examples are from almost all fields of economics; technically proceeding from basic to advanced topics.
· Lively illustrations with numerous figures.
· Numerous simulation to see paths of economic dynamics.
· Comprehensive treatment of the subject with a comprehensive and easily accessible approach.

Key Features:

· A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics.
· Mathematical definitions and theorems are introduced in a systematic and easily accessible way.
· Examples are from almost all fields of economics; technically proceeding from basic to advanced topics.
· Lively illustrations with numerous figures.
· Numerous simulation to see paths of economic dynamics.
· Comprehensive treatment of the subject with a comprehensive and easily accessible approach. 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:· A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. · Mathematical definitions and theorems are introduced in a systematic and easily accessible way. · Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. · Lively illustrations with numerous figures. · Numerous simulation to see paths of economic dynamics. · Comprehensive treatment of the subject with a comprehensive and easily accessible approach. Key Features:· A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. · Mathematical definitions and theorems are introduced in a systematic and easily accessible way. · Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. · Lively illustrations with numerous figures. · Numerous simulation to see paths of economic dynamics. · Comprehensive treatment of the subject with a comprehensive and easily accessible approach. 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: ·A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. ·Mathematical definitions and theorems are introduced in a systematic and easily accessible way. ·Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. ·Lively illustrations with numerous figures. ·Numerous simulation to see paths of economic dynamics. ·Comprehensive treatment of the subject with a comprehensive and easily accessible approach. Key Features: ·A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics. ·Mathematical definitions and theorems are introduced in a systematic and easily accessible way. ·Examples are from almost all fields of economics; technically proceeding from basic to advanced topics. ·Lively illustrations with numerous figures. ·Numerous simulation to see paths of economic dynamics. ·Comprehensive treatment of the subject with a comprehensive and easily accessible approach 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 Preface. Contents.

1. Difference equations in economics.

2. Scalar linear difference equations.

3. One-dimensional dynamical economic systems.

4. Time-dependent solutions of scalar systems.

5. Economic bifurcations and chaos.

6. Higher dimensional difference equations.

7. Higher dimensional economic dynamics.

8. Epilogue.

Appendix. Index.