Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81705
Type: Artigo
Title: On the topological equivalence of some fuzzy flows near hyperbolic equilibria
Author: Mizukoshi, Marina T.
Barros, Laécio C.
Bassanezi, Rodney C.
Brandão, Adilson J. V.
Abstract: The purpose of this work is to study fuzzy dynamical systems associated with deterministic systems. The Grobman-Hartman theorem states that, near hyperbolic equilibria, there exists a homeomorphism between the nonlinear system's trajectories and the linearized correspondent system's trajectories. That is, these systems are topologically equivalent. A theorem similar to Grobman-Hartman theorem to fuzzy flows is the main result in this article. For fuzzy flows obtained from each system it states that the nonlinear and the linearized are topologically equivalent. (C) 2011 Elsevier B.V. All rights reserved.
The purpose of this work is to study fuzzy dynamical systems associated with deterministic systems. The Grobman-Hartman theorem states that, near hyperbolic equilibria, there exists a homeomorphism between the nonlinear system's trajectories and the linea
Subject: Sistemas fuzzy
Homeomorfismos
Extensão de Zadeh
Country: Países Baixos
Editor: Elsevier
Citation: Fuzzy Sets And Systems. Elsevier Science Bv, v. 189, n. 1, n. 92, n. 100, 2012.
Rights: Fechado
Identifier DOI: 10.1016/j.fss.2011.05.008
Address: https://www.sciencedirect.com/science/article/pii/S0165011411002120
Date Issue: 2012
Appears in Collections:IMECC - Artigos e Outros Documentos

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