ABSTRACT

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.

chapter 2|24 pages

Differential Equations and Bifurcation

chapter 3|9 pages

Applications of Dynamical Systems Theory

A Survey of Approaches

chapter 4|26 pages

Macro-Scale Applications

chapter 5|61 pages

Bifurcation at the MESO–Scale I

Comparative Statics Of Urban Spatial Structure

chapter 6|48 pages

Bifurcation at the Meso-Scaleh

The Dynamics of Urban Spatial Structure

chapter 7|21 pages

Micro-scale applications

chapter 9|3 pages

Concluding Comments