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

1st Edition

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

By Alan Wilson Copyright 1981
354 Pages
by Routledge

354 Pages
by Routledge

354 Pages
by Routledge
Also available as eBook on:
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... Read more

1. A Lay guide to the Mathematics of Catastrophe Theory  2. Differential Equations and Bifurcation Theory  3. Applications of Dynamical Systems Theory: A Survey of Approaches  4. Macro-Scale Applications  5. Bifurcation at the Meso-Scale I: Comparative Statistics of Urban Spatial Structure  6. Bifurcation at the Meso-Scale II: The Dynamics of Urban Spatial Structure  7. Micro-Scale Applications  8. Applications in Other Disciplines and Some New Results for Urban Systems.

Biography

Alan Wilson

‘An excellent book … His exposition treads the fine line with great care and honesty, telling the reader exactly where imaginative and provocative speculation begin, where well-thought-out "recasting" of previous ideas are solidly based. A major strength is the way Wilson has integrated text and diagram – even a reader without much mathematical background will be able to "see" the ideas.’ – Peter R. Gould

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