Polynomial Normal Forms for Vector Fields on R3


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 ẋ = 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… (More)


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@inproceedings{Yang2000PolynomialNF, title={Polynomial Normal Forms for Vector Fields on R3}, author={Jiazhong Yang}, year={2000} }