Unstable dimension variability structure in the parameter space of coupled Henon maps

Autor(es)

dos Santos, Vagner ^[1] ; Szezech, Jr., Jose D. ^{[2, 1]} ; Baptista, Murilo S. ^[3] ; Batista, Antonio M. ^{[4, 2, 1]} ; Caldas, Ibere L. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Estadual Ponta Grossa, Posgrad Ciencias, BR-84030900 Ponta Grossa, PR - Brazil

^[2] Univ Estadual Ponta Grossa, Dept Matemat & Estat, BR-84030900 Ponta Grossa, PR - Brazil

^[3] Univ Aberdeen, Inst Complex Syst & Math Biol, SUPA, Aberdeen AB24 3UE - Scotland

^[4] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematics and Computation; v. 286, p. 23-28, AUG 5 2016.
• Citações Web of Science: 2

Resumo

Coupled maps have been investigated to model the applications of periodic and chaotic dynamics of spatially extended systems. We have studied the parameter space of coupled Henon maps and showed that attractors possessing unstable dimension variability (UDV) appear for parameters neighbouring the so called shrimp domains, representing parameters leading to stable periodic behaviour. Therefore, the UDV should be very likely to be found in the same large class of natural and man-made systems that present shrimp domains. (C) 2016 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático