Source: Duke Math. J.
Volume 106, Number 1
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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