Abstract
Many singularities, bifurcations, and catastrophes (jumps) arise in all maxima and minima problems ; such problem arise, for instance, 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 (Fig. 46). On smooth change of the function the optimum solution changes with a jump, transferring from one competing maxima (A) to the other (B).
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© 1984 Springer-Verlag Berlin Heidelberg
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Arnold, V.I. (1984). Singularities in Optimization Problems, the Maxima Function. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96799-3_10
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DOI: https://doi.org/10.1007/978-3-642-96799-3_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12859-5
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