Experimental identification of chaotic fibers


Autoria(s): Maranhão, Dariel Mazzoni; Sartorelli, Jose Carlos; Baptista, Murilo da Silva
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

Resumo

In a 2D parameter space, by using nine experimental time series of a Clitia`s circuit, we characterized three codimension-1 chaotic fibers parallel to a period-3 window. To show the local preservation of the properties of the chaotic attractors in each fiber, we applied the closed return technique and two distinct topological methods. With the first topological method we calculated the linking, numbers in the sets of unstable periodic orbits, and with the second one we obtained the symbolic planes and the topological entropies by applying symbolic dynamic analysis. (C) 2007 Elsevier Ltd. All rights reserved.

FAPESP Fundacao de Amparo a Pesquisa do Estado de Sao Paulo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

CNPq

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Alexander von Humboldt Foundation (AvH)

Alexander von Humboldt Foundation

Identificador

CHAOS SOLITONS & FRACTALS, v.39, n.1, p.9-16, 2009

0960-0779

http://producao.usp.br/handle/BDPI/29232

10.1016/j.chaos.2007.01.131

http://dx.doi.org/10.1016/j.chaos.2007.01.131

Idioma(s)

eng

Publicador

PERGAMON-ELSEVIER SCIENCE LTD

Relação

Chaos Solitons & Fractals

Direitos

restrictedAccess

Copyright PERGAMON-ELSEVIER SCIENCE LTD

Palavras-Chave #TOPOLOGICAL ANALYSIS #PERIODIC-ORBITS #STRANGE ATTRACTORS #PARAMETER SPACE #TIME-SERIES #SETS #Mathematics, Interdisciplinary Applications #Physics, Multidisciplinary #Physics, Mathematical
Tipo

article

original article

publishedVersion