Geodesic
Properties and application of smooth function germs of orbit tangent space
Gan, Wenliang1 ; Pei, Donghe1 ; Li, Qiang2
1 School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China
2 School of Science, Qiqihar University, Qiqihar 161006, P. R. China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 12, p. 6041-6047.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The finite determinacy of smooth function germ is the key in approximating the nonlinear function with infinite terms by its finite terms. In this paper, we discuss the inclusion relations with a new equivalent form for function germs in orbit tangent spaces, and get an improved form of the finite $k$-determinacy of smooth function germ. As an application, the methods in judging the right equivalency of Whitney function family with codimension 8 are presented.
DOI : 10.22436/jnsa.009.12.11
Classification : 58C25, 58K40, 32S30
Keywords: Diffeomorphism, function germ, Jacobian ideal, \(\mathcal{R}\)-equivalence.

Gan, Wenliang 1 ; Pei, Donghe 1 ; Li, Qiang 2

1 School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China
2 School of Science, Qiqihar University, Qiqihar 161006, P. R. China 
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Gan, Wenliang; Pei, Donghe; Li, Qiang. Properties and application of smooth function germs of orbit tangent space. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 12, p. 6041-6047. doi : 10.22436/jnsa.009.12.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.12.11/

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