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. ↑ Vladimir Arnold "Spectral sequence for reduction of functions to normal form", Funct. Anal. Appl. 9 (1975) no. 3, 81–82.
  2. ↑ Victor Goryunov, Gábor Lippner, "Simple framed curve singularities" in Geometry and Topology of Caustics. Polish Academy of Sciences. 2006. pp. 86–91.
  3. ↑ Majid Gazor, Pei Yu, "Spectral sequences and parametric normal forms", Journal of Differential Equations 252 (2012) no. 2, 1003–1031.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.