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Polynomial normal forms for vector fields on ℝ3
Jiazhong Yang
Source: Duke Math. J. Volume 106, Number 1
(2001), 1-18.
Abstract
The present paper is devoted to studying a class of
smoothly (C∞) finitely determined
vector fields on ℝ3. Given any such generic
local system of the form =Ax+⋯, where A is a
3×3 matrix, we find the minimal possible number i(A)
such that the vector field is i(A)-jet determined, and we
find the number μ(A) of moduli in the C∞
classification. We also give a list of the simplest normal
forms, that is, polynomials of degree i(A) containing
exactly μ(A) parameters.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1092403887
Mathematical Reviews number (MathSciNet): MR1810364
Digital Object Identifier: doi:10.1215/S0012-7094-01-10611-X
Zentralblatt MATH identifier: 1020.34033
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