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|Type:||Artigo de periódico|
|Title:||Polynomial normal forms for vector fields on R-3|
|Abstract:||The present paper is devoted to studying a class of smoothly (C-infinity) finitely determined vector fields on R-3. Given any such generic local system of the form <(<chi>)over circle> = A chi + ..., where A is a 3 x 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 mu (A) of moduli in the C-infinity classification. we also give a list of the simplest normal forms, that is, polynomials of degree i (A) containing exactly mu (A) parameters.|
|Editor:||Duke Univ Press|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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