Catastrophe Theory and Bifurcation (Routledge Revivals): Applications to Urban and Regional Systems

Catastrophe Theory and Bifurcation (Routledge Revivals): Applications to Urban and Regional Systems
ISBN-10
1136599819
ISBN-13
9781136599811
Category
Social Science
Pages
354
Language
English
Published
2012-11-12
Publisher
Routledge
Author
Alan Wilson

Description

Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters. First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.

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