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Urban Dynamics and Urban Cycles

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  • D S Dendrinos

    (Institute for Social and Environmental Studies, University of Kansas, Lawrence, Kansas 66045, USA)

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.

Suggested Citation

  • D S Dendrinos, 1978. "Urban Dynamics and Urban Cycles," Environment and Planning A, , vol. 10(1), pages 43-49, January.
    • Handle: RePEc:sae:envira:v:10:y:1978:i:1:p:43-49
    DOI: 10.1068/a100043
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    References listed on IDEAS

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    1. Harry W. Richardson, 1975. "Discontinuous Densities, Urban Spatial Structure and Growth: A New Approach," Land Economics, University of Wisconsin Press, vol. 51(4), pages 305-315.
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