Attractors, bifurcations & chaos : nonlinear phenomena in economics
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Bibliographic Information
Attractors, bifurcations & chaos : nonlinear phenomena in economics
Springer, c2003
2nd ed
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Attractors, bifurcations, and chaos
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Includes bibliographical references and index
Description and Table of Contents
Description
Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.
Table of Contents
1 Introduction.- 2 Differential Equations: Ordinary.- 3 Differential Equations: Partial.- 4 Iterated Maps or Difference Equations.- 5 Bifurcation and Catastrophe.- 6 Monopoly.- 7 Duopoly and Oligopoly.- 8 Business Cycles: Continuous Time.- 9 Business Cycles: Continuous Space.- 10 Business Cycles: Discrete Time.- 11 Dynamics of Interregional Trade.- 12 Development: Increasing Complexity.- 13 Development: Multiple Attractors.- References.- List of Figures.
by "Nielsen BookData"