Théorie des singularités
Contact unimodal map germs from the plane to the plane
Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 923-930.

In this article, we correct the classification of unimodal map germs from the plane to the plane of Boardman symbol $\left(2,2\right)$ given by Dimca and Gibson. Also, we characterize this classification of unimodal map germs in terms of certain invariants. Moreover, on the basis of this characterization we present an algorithm to compute the type of unimodal map germs of the Boardman symbol $\left(2,2\right)$ without computing the normal form and give its implementation in the computer algebra system Singular [8].

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DOI : https://doi.org/10.5802/crmath.114
Classification : 58Q05,  14H20
@article{CRMATH_2020__358_8_923_0,
author = {Muhammad Ahsan Binyamin and Saima Aslam and Khawar Mehmood},
title = {Contact unimodal map germs from the plane to the plane},
journal = {Comptes Rendus. Math\'ematique},
pages = {923--930},
publisher = {Acad\'emie des sciences, Paris},
volume = {358},
number = {8},
year = {2020},
doi = {10.5802/crmath.114},
language = {en},
}
Muhammad Ahsan Binyamin; Saima Aslam; Khawar Mehmood. Contact unimodal map germs from the plane to the plane. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 923-930. doi : 10.5802/crmath.114. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.114/

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