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

Research paper by Majid Gazor, Mojtaba Moazeni

Indexed on: 14 Dec '13Published on: 14 Dec '13Published in: Mathematics - Dynamical Systems



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.