Periodic window arising in the parameter space of an impact oscillator


Autoria(s): MEDEIROS, E. S.; Souza, Silvio Luiz Thomaz de; Torricos, Rene Orlando Medrano; Caldas, Ibere Luiz
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

Resumo

In the bi-dimensional parameter space of an impact-pair system, shrimp-shaped periodic windows are embedded in chaotic regions. We show that a weak periodic forcing generates new periodic windows near the unperturbed one with its shape and periodicity. Thus, the new periodic windows are parameter range extensions for which the controlled periodic oscillations substitute the chaotic oscillations. We identify periodic and chaotic attractors by their largest Lyapunov exponents. (C) 2010 Elsevier B.V. All rights reserved.

FAPESP

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

CNPq

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Capes

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Identificador

PHYSICS LETTERS A, v.374, n.26, p.2628-2635, 2010

0375-9601

http://producao.usp.br/handle/BDPI/29030

10.1016/j.physleta.2010.04.045

http://dx.doi.org/10.1016/j.physleta.2010.04.045

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

Relação

Physics Letters A

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #Impact oscillator #Controlling chaos #Parameter space #Nonfeedback method #VIBRO-IMPACT #HENON-MAP #DYNAMICS #SYSTEM #PERTURBATIONS #CIRCUIT #CHAOS #Physics, Multidisciplinary
Tipo

article

original article

publishedVersion