Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/62083
Type: Artigo de periódico
Title: NONSTANDARD FAREY SEQUENCES IN A REALISTIC DIODE MAP
Author: PEREZ, G
SINHA, S
CERDEIRA, HA
Abstract: We study a realistic coupled-map system, modelling a p-i-n diode structure. As we vary the parameter corresponding to the (scaled) external potential in the model the dynamics goes through an exchange of stability bifurcation and a Hopf bifurcation. When the parameter is increased further, we find evidence of a sequence of mode-locked windows embedded in the quasi-periodic motion. These periodic attractors can be ordered according to a Farey tree that is generated between two parent fractions 2/7 and 2/8, where 2/8 implies two distinct coexisting attractors with rho = 1/4, and the correct structure is obtained only when we use the parent fraction 2/8. So, unlike a regular Farey tree, here numerator and denominator of the Farey fractions need not be relative primes. We also checked that the positions and widths of these windows exhibit well-defined power law scaling. When the potential is increased further, the Farey windows still provide a skeleton. for the dynamics, and within each window there is a host of other interesting dynamical features, including multiple forward and reverse Feigenbaum trees.
Country: França
Editor: Editions Physique
Rights: aberto
Identifier DOI: 10.1209/0295-5075/16/7/005
Date Issue: 1991
Appears in Collections:Unicamp - Artigos e Outros Documentos

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