an:01432927
Zbl 0942.91001
Puu, T??nu
Attractors, bifurcations, and chaos. Nonlinear phenomena in economics
EN
Berlin: Springer. xii, 507 p. (2000).
2000
b
91-02 37-02 37D45 37N40 91B62
nonlinear dynamics; bifurcation; catastrophe; nonlinear phenomena in economics; oligopoly; dynamics of interregional trade and development
This book consists of four mathematical chapters on nonlinear dynamics, more precisely on ordinary, partial differential and difference equations, bifurcation and catastrophe, and eight chapters devoted to nonlinear phenomena in economics. These chapters treat monopoly, duopoly and oligopoly, business cycles (in continuous and discrete time, and continuous space), dynamics of interregional trade and development (increasing complexity, multiple attractors).
The mathematical background is written in an introductory level making use of several examples, and is meant also for self-study by economics students, however the book is not designed as a textbook.
Some economic applications stem from a previous book of the same author [Nonlinear economic dynamics. 4th ed., Berlin.: Springer (1997; Zbl 0931.91024)]. Other applications are new, e.g. economic pattern formation in the geographical space economy. Some emphasis is put on perturbation methods. The concepts of complexity, catastrophe, chaotic behavior, fractals, attractors are discussed within specific economic development models. This book can be useful as a reference for several nonlinear economic models analyzed by mathematical tools from nonlinear dynamics theory.
T.Zolezzi (Genova)
Zbl 0931.91024