Abstract
Many singularities, bifurcations, and catastrophes (jumps) arise in all problems in which extrema (maxima and minima) are sought, problems in optimization, control theory and decision theory. For instance, suppose we have to find x such that the value of a function f(x) is maximal. Under a smooth change of the function the optimal solution changes with a jump from one of the two competing maxima (A) to the other (B).
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© 1992 Springer-Verlag Berlin Heidelberg
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Arnold, V.I. (1992). Singularities in Optimization Problems: the Maximum Function. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58124-3_10
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DOI: https://doi.org/10.1007/978-3-642-58124-3_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54811-9
Online ISBN: 978-3-642-58124-3
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