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Type: Artigo de periódico
Title: Polynomial normal forms for vector fields on R-3
Author: Yang, JZ
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.
Country: EUA
Editor: Duke Univ Press
Citation: Duke Mathematical Journal. Duke Univ Press, v. 106, n. 1, n. 1, n. 18, 2001.
Rights: fechado
Identifier DOI: 10.1215/S0012-7094-01-10611-X
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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