Some of the elementary ideas underlying catastrophe theory are reviewed and it is shown how the cusp catastrophe can be used in the theory of binary choice. A specific application to modal choice is presented and a number of conjectures are made about the wider application of the method in urban modelling.
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References
1.
AmsonJ C, 1972“Equilibrium and catastrophic modes of urban growth” in London Papers in Regional Science 4. Space—Time Concepts in Urban and Regional Models Ed. CrippsE L (Pion, London) pp 108–128
2.
AmsonJ C, 1975“Catastrophe theory: a contribution to the study of urban systems?”Environment and Planning B2177–221
3.
BröckerT, 1975Differentiable Germs and Catastrophes (Cambridge University Press, Cambridge)
4.
DieudonnéJ, 1969Foundations of Modern Analysis (Academic Press, New York)
5.
FowlerD H, 1972“The Riemann—Hugoniot catastrophe and van der Waals' equation” in Towards a Theoretical Biology, Volume 4 Ed. WaddingtonC H (Edinburgh University Press, Edinburgh) pp 1–7
ThomR, 1975Structural Stability and Morphogenesis (W A Benjamin Inc., Reading, Mass.)
8.
WilsonA G, 1970Entropy in Urban and Regional Modelling (Pion, London)
9.
ZeemanE C, 1972“Differential equations for the heartbeat and nerve impulse” in Towards a Theoretical Biology, Volume 4 Ed. WaddingtonC H (Edinburgh University Press, Edinburgh) pp 8–67
