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Type: Artigo de periódico
Title: Asymptotic Stability At Infinity Of Planar Vector Fields
Author: Gutierrez C.
Teixeira M.-A.
Abstract: Let ρ>0 and X be a C1 vector field on the plane such that: (i) for all q∈ℝ2, Det(DX(q))>0; and (ii) for all p∈ℝ2, with {norm of matrix}p{norm of matrix}≥ρ, Trace(D(X(p))<0. If X has a singularity and ∫ℝ 2 Trace (DX)dx{curly logical and}dy is less than 0 (resp. greater or equal than 0), then the point at infinity of the Riemann sphere ℝ2∪{∞} is a repellor (resp. an attractor) of X. © 1995 Sociedade Brasileira de Matemática.
Editor: Springer-Verlag
Rights: fechado
Identifier DOI: 10.1007/BF01234626
Date Issue: 1995
Appears in Collections:Unicamp - Artigos e Outros Documentos

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