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Attractors, bifurcations, and chaos nonlinear phenomena in economics

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  • "Attractors, bifurcations, and chaos"

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  • "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."
  • "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 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 issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory, focusing increasing diversity and complexity. Some of the applications are cast as processes in discrete time, others are modelled in continuous time. Some have a layout involving even space and hence address issues of economic pattern formation in geographical space."
  • "The present book relies on various editions of my earlier book "Nonlinear Economic Dynamics", first published in 1989 in the Springer series "Lecture Notes in Economics and Mathematical Systems", and republished in three more, successively revised and expanded editions, as a Springer monograph, in 1991, 1993, and 1997. The frrst three editions were focused on applications. The last was considerably different, by including some chapters with mathematical background material (ordinary differential equations and iterated maps), so as to make the book more self-contained and suitable as a textbook for economics students of dynamical systems. To the same pedagogical purpose, the number of illustrations were expanded. The author also prepared some of the software used in producing the illustrations for use by the readers on the PC, by making the programs interactive and providing them with a user interface. Simulations are essential, when dealing with nonlinear systems, where closed form solutions do not exist. Even theoretical science then becomes experimental. (The software prepared for that book can still be acquired directly from the author at the address tonu. puu@econ. umu. se. ) The present book has been so much changed, that I felt it reasonable to give it a new title. There are two new mathematics chapters (on partial dif ferential equations and on catastrophe theory), making the mathematical back ground material fairly complete. There is also an account of the recently emergent method of critical lines and absorbing areas for non-invertible maps added to the chapter on maps."

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  • "Electronic books"

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  • "Attractors, bifurcations & chaos nonlinear phenomena in economics"
  • "Attractors, bifurcations, & chaos : nonlinear phenomena in economics"
  • "Attractors, bifurcations & chaos : nonlinear phenomena in economics"
  • "Attractors, bifurcations, and chaos nonlinear phenomena in economics"@en
  • "Attractors, Bifurcations, & Chaos Nonlinear Phenomena in Economics"
  • "Attractors, Bifurcations, and Chaos Nonlinear Phenomena in Economics"
  • "Attractors, bifurcations, and chaos : nonlinear phenomena in economics"

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