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Singularity functions for bifurcations

Authors
  • Wuhan Univ., HB (China). Dept. of Mathem...
  • Werner, B. (Hamburg Univ. (Germany). Ins...
  • yang, lijun
  • univ., hamburg
Publication Date
Jan 01, 1995
Source
OpenGrey Repository
Keywords
Language
English
License
Unknown

Abstract

We discuss a family of scalar functions (singularity functions) for nonlinear parameter-dependent mappings defined in a neighborhood of a simple singular point. These functions are derived from the generalized Liapunov-Schmidt reduction based on bordered systems and are useful for the characterization, classification and numerical computation of simple singular points. A recursive algorithm will be given for the determination of the singularity functions by linear equations with a same linear (bordered) operator. The regularity of the defining equations for singularities (bifurcations) with the singularity functions will be shown to be equivalent to certain universal unfolding properties. (orig.) / Available from TIB Hannover: RN 5999(99) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbibliothek / SIGLE / DE / Germany

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