The Mysticism of Catastrophe Theory

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

Chapter 16 in Catastrophe Theory, 1992, pp 102-107 from Springer

Abstract: Abstract The applications of singularity theory to the natural sciences do not exhaust all the directions taken by catastrophe theory: along with concrete investigations of the Zeeman type, one has the more philosophical work of the mathematician René Thorn, who first recognized the all-encompassing nature of Whitney’s work on singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe’, and has engaged in a broad propaganda for catastrophe theory.

Keywords: Wave Front; Singularity Theory; Dynkin Diagram; Infinite Series; Obstacle Problem (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-58124-3_16

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DOI: 10.1007/978-3-642-58124-3_16

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