Arnold's spectral sequence

In mathematics, Arnold's spectral sequence (also spelled Arnol'd) is a spectral sequence used in singularity theory and normal form theory as an efficient computational tool for reducing a function to canonical form near critical points. It was introduced by Vladimir Arnold in 1975.[1][2][3]

References

  1. ↑ ARNOL'D, V. I. (1975), "Spectral sequence for reduction of functions to normal form", Funct. Anal. Appl. 9(3), pp. 81–82
  2. ↑ GORYUNOV, V.; LIPPNER, G. . "Simpled framed curve singularities" in the book Geometry and Topology of Caustics. Polish Academy of Sciences. 2006. pp. 86–91.
  3. ↑ GAZOR, M.; YU, P. (2012). "Spectral sequences and parametric normal forms", Journal of Differential Equations.
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