Bifurcation analysis of a new Lorenz-like chaotic system
Nenhuma Miniatura disponível
Data
2008-08-01
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Pergamon-Elsevier B.V. Ltd
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
In this paper we study the local codimension one and two bifurcations which occur in a family of three-dimensional vector fields depending on three parameters. An equivalent family, depending on five parameters, was recently proposed as a new chaotic system with a Lorenz-like butterfly shaped attractor and was studied mainly from a numerical point of view, for particular values of the parameters, for which computational evidences of the chaotic attractor was shown. In order to contribute to the understand of this new system we present an analytical study and the bifurcation diagrams of an equivalent three parameter system, showing the qualitative changes in the dynamics of its solutions, for different values of the parameters. (C) 2007 Elsevier Ltd. All rights reserved.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Chaos Solitons & Fractals. Oxford: Pergamon-Elsevier B.V. Ltd, v. 37, n. 4, p. 1244-1255, 2008.