Local Bifurcation Theory

  • V. I. Arnold
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 250)

Abstract

The word bifurcation means division into two and is used in a wide sense to indicate every qualitative topological metamorphosis of a picture under the variation of parameters on which the object being studied depends. The objects can be diverse: for example, real or complex curves or surfaces, functions or mappings, manifolds or fiber bundles, vector fields or equations, differential or integral.

Keywords

Convection Manifold Torque Stratification Hull 

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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Steklov Mathematical InstituteMoscow GSP-1USSR

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