Abstract
A brief introduction to catastrophe theory is presented, within the context of geological application, and a fundamental problem with a critical axiom of the theory noted. Implications for the application of this theory to modeling geological processes are noted and a solution to the problem proposed. The new approach is examined with reference to a model for sediment transport on the continental slope.
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Cubitt, J.M., Shaw, B. The geological implications of steady-state mechanisms in catastrophe theory. Mathematical Geology 8, 657–662 (1976). https://doi.org/10.1007/BF01031096
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DOI: https://doi.org/10.1007/BF01031096