Urban Dynamics and Urban Cycles
- 1 January 1978
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 10 (1) , 43-49
- https://doi.org/10.1068/a100043
Abstract
Some basic elements of catastrophe theory are discussed insofar as they relate to discontinuities observed in the allocation of economic activities in urban settings. The case of a dynamic model of the allocation of manufacturing and residential activities is presented in an open urban area as a model of a hyperbolic umbilic catastrophe. The dynamic equilibrium allocations of these two activities are identified as possible paths in the bifurcation set of the three parameter (control variables) and two behavioral-variables catastrophe type. A regulating function governing the urban system at the macroscale is discussed.Keywords
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