Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case
Dynamical Systems
2014-12-25 v4 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1304.7329,
title = {Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case},
author = {Majid Gazor and Mojtaba Moazeni},
journal= {arXiv preprint arXiv:1304.7329},
year = {2014}
}