Discrete dynamical systems, bifurcations and chaos in economics
By: Wei-Bin Zhang.
Contributors: ScienceDirect (Online service)
Series: Mathematics in science and engineering -- v. 204
Publisher: Elsevier
Published: 2006
Place of publication: Amsterdam; Boston
Language: eng
Number of pages: 448
ISBN-13: 9780444521972
Subjects: Economics, Mathematical; Difference equations; Differentiable dynamical systems
Description: 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.<P> Key Features:<P> 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:<P> 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.
Notes: Includes bibliographical references (p. 427-437) and index.

Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007. Mode of access: World Wide Web. System requirements: Web browser. Title from title screen (viewed on July 25, 2007). Access may be restricted to users at subscribing institutions.
Table of contents: title: Preface.; title: Contents.<P>; title: 1. Difference equations in economics.<P>; title: 2. Scalar linear difference equations.<P>; title: 3. One-dimensional dynamical economic systems.<P>; title: 4. Time-dependent solutions of scalar systems.<P>; title: 5. Economic bifurcations and chaos.<P>; title: 6. Higher dimensional difference equations.<P>; title: 7. Higher dimensional economic dynamics.<P>; title: 8. Epilogue.<P>; title: Appendix.; title: Index.