The first part of this book is an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations, both ordinary and partial, further with discrete maps, and with catastrophe theory. Phenomena such as bifurcations and deterministic chaos are given...

This book has its focus on the dynamics of oligopoly games. Several contributions show how easily the unique Nash equilibria in some most traditional oligopoly models may lose stability, giving way to complex phenomena, such as periodic/chaotic processes, and to multi stability of coexistent...

The theme of this book is the emergence and survival of spatial economic structures. How are economic structures created in an otherwise homogeneous environment? The answer is found through an analysis of economic forces that operate in the two dimensional continuum of space. And here economies...

Puu, Mathematical Location and Land Use Theory, 2nd rev. and enl. edition Extracts from reviews to the first edition: "This book is an excellent introduction to the theory of continuous location of economic activities in two-dimensional space based on differential equations and to their solution...

The book studies nonlinear economic dynamics. Formation of spatial patterns, population dynamics in space and time, and spatial waves of business cycles are discussed. The main part dwells on business cycle theory, using a multiplier-accelerator model in a spatial setting with interregional...

This book starts out from the classical models of the space economy, associated with such names as: von Thünen, Launhardt, Weber, Christaller and Lösch. The theories are stated in terms of precise mathematical models, and are generalized by the use of results from modern topology. The...

Business cycle theory has been one of the fastest growing fields in modern nonlinear economic dynamics. This book presents new mathematical methods for global analysis which have not previously been available in this easily accessible form. In addition it contains a presentation of full analyses...

Deals with economic aspects of changing attitudes in arts and sciences. This book emphasizes the effects of the public good character of culture, along with the very long production period and lifetime for its products, as both contribute to the failure of normal market solutions