Differential Equations, Bifurcations, And Chaos In Economics

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Zhang, Wei-Bin

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ISBN:9789812563330
Editorial: World Scientific Publishing
Fecha de la edición:2005
Colección: Series on Advances in Mathematics for Applied Sc nº 68
Encuadernación:Tapa dura
Dimensiones: 18 cm x 23 cm
Nº Pág.:489
Idiomas:Inglés,Ingles

Materias:

/ Economía Cuantitativa

Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only been widely applied to economic analysis in recent years. It provides comprehensive coverage of the most important concepts and theorems in the theory of differential equations in a way that can be understood by any reader who has a basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, the book includes many recent developments in different fields of economics.

Dimension One:
Scalar Linear Differential Equations
Scalar Nonlinear Differential Equations
Economic Dynamics with Scalar Differential Equations
Dimension Two:
Planar Linear Differential Equations
Planar Nonlinear Differential Equations
Planar Dynamical Economical Systems
Higher Dimensions:
Higher-Dimensional Differential Equations
Higher-Dimensional Nonlinear Differential Equations
Higher-Dimensional Economic Evolution
Epilogue: Economic Evolution with Changeable Speeds and Structures