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arXiv · 1304.7329

Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case

Majid Gazor·Mojtaba Moazeni
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Abstract

We obtain a parametric normal form for any non-degenerate perturbation of the generalized saddle-node case of Bogdanov--Takens singularity. Explicit formulas are derived and greatly simplified for an efficient implementation in any computer algebra system. A Maple program is prepared for an automatic parametric normal form computation. A section is devoted to present some practical formulas which avoid technical details of the paper.

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Majid Gazor, Mojtaba Moazeni. 2013-04-27. Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case. https://doi.org/10.3934/dcds.2015.35.205

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