Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81705
Type: Artigo de periódico
Title: On the topological equivalence of some fuzzy flows near hyperbolic equilibria
Author: Mizukoshi, MT
Barros, LC
Bassanezi, RC
Brandao, AJV
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.
Subject: Analysis
Fuzzy system models
Homeomorphic fuzzy flows
Hyperbolic equilibrium
Zadeh's extension principle
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.fss.2011.05.008
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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