Spectral sequences and parametric normal forms

By Majid Gazor, Pei Yu. 2011

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Abstract This paper extends recent developments on spectral sequence approach on the simplest normal form theory to parametric cases. In this paper, the method is first applied to two simple examples (parametric single zero and parametric resonant saddle singularities) and then, to parametric generalized Hopf singularity. We provide the simplest parametric normal form for these cases.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5527babd92056ae74583ff5c4bf9a31288f83d4b