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Singularities and normal forms of observed dynamics

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Abstract

We define and study a notion of a singular point for observed dynamical systems with no controls. Lists of normal forms for such singularities are given in both general and generic cases. One class of normal forms corresponds to singularities which appear in catastrophe theory.

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Authors and Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950, Warsaw, Poland

    B. Jakubczyk

  2. Institute of Technical Cybernetics, Technical University of Wroclaw, Janiszewskiego 11/17, 50-372, Wroclaw, Poland

    K. Tchon

Authors
  1. B. Jakubczyk
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  2. K. Tchon
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Additional information

This work was done while the author was visiting the Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, U.S.A.

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Jakubczyk, B., Tchon, K. Singularities and normal forms of observed dynamics. Math. Control Signal Systems 2, 19–31 (1989). https://doi.org/10.1007/BF02551359

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  • DOI: https://doi.org/10.1007/BF02551359

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