Nonlinear Difference Equations
Subtitle: Theory with Applications to Social Science Models
By: by Hassan Sedaghat
Series: Mathematical Modelling: Theory and Applications -- 15; Mathematical Modelling: Theory and Applications -- 15
Publisher: Springer Netherlands
Published: 2003
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 388
ISBN-13: 9789048162154; 9789401704175
Subjects: Functional equations; Microeconomics; Mathematics; Economics; Social sciences; Global analysis
Description: This book presents a rare mix of the latest mathematical theory and procedures in the area of nonlinear difference equations and discrete dynamical systems, together with applications of this theory to models in economics and other social sciences The theoretical results include not only familiar topics on chaos, bifurcation stability and instability of cycles and equilibria, but also some recently published and some as yet unpublished results on these and related topics (e.g., the theory of semiconjugates). In addition to rigorous mathematical analysis, the book discusses several social science models and analyzes some of them in substantial detail. This book is of potential interest to professionals and graduate students in mathematics and applied mathematics, as well as researchers in social sciences with an interest in the latest theoretical results pertaining to discrete, deterministic dynamical systems.
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Table of contents: title: From the contents: Preface; title: Acknowledgements; title: Part I: Theory. 1: Preliminaries. 2: Dynamics on the real line. 3: Vector Tangent Equations. 4: Higher Order Scalar Difference Equations; title: Part II: Applications to CSocial Science Models. 5: Chaos and Stability in Some Models. 6: Additional Models; title: Bibliography; title: Index.