Attractors, Bifurcations and Chaos

Presents an introduction to mathematical methods in nonlinear dynamics. This book talks about the phenomena such as bifurcations and deterministic chaos, coexistence of attractors, and the multiplicity of development paths in nonlinear systems. The applications focus on issues such as business cycles, oligopoly, and economic development theory. The first part of this book is an introduction to the mathematical methods of modern nonlinear dynamics. It deals with differential equations, ordinary and partial, iterated maps, and bifurcation theory. The second part focuses applications to economics and regional science. Topics such as business cycles, oligopoly, interregional trade, and economic development theory are included. Bifurcation analysis, and studies of the various attractors, with their basins, provide the core, both of the background material and the applications. Coexistence of attractors and multiplicity of development paths are emphasized throughout. The chapters devoted to spatial applications focus the emergence of geographical patterns.