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|Type:||Artigo de periódico|
|Title:||NONSTANDARD FAREY SEQUENCES IN A REALISTIC DIODE MAP|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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