Attractors, Bifurcations, & Chaos

The first part of this book is 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.

Guide to the methods for nonlinear analysis. Introduction to the complexity of economic evolution and emergent structures. Includes supplementary material: sn.pub/extras

Inhalt
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.