Universality in the one-dimensional chain of phase-coupled oscillators.
Phys Rev E Stat Nonlin Soft Matter Phys
; 80(4 Pt 2): 046210, 2009 Oct.
Article
in En
| MEDLINE
| ID: mdl-19905418
ABSTRACT
We apply a recently developed renormalization-group (RG) method to study synchronization in a one-dimensional chain of phase-coupled oscillators in the regime of weak randomness. The RG predicts how oscillators with randomly distributed frequencies and couplings form frequency-synchronized clusters. Although the RG was originally intended for strong randomness, i.e., for distributions with long tails, we find good agreement with numerical simulations even in the regime of weak randomness. We use the RG flow to derive how the correlation length scales with the width of the coupling distribution in the limit of large coupling. This leads to the identification of a universality class of distributions with the same critical exponent nu . We also find universal scaling for small coupling. Finally, we show that the RG flow is characterized by a universal approach to the unsynchronized fixed point, which provides physical insight into low-frequency clusters.
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Collection:
01-internacional
Database:
MEDLINE
Main subject:
Oscillometry
/
Biological Clocks
/
Models, Biological
Type of study:
Prognostic_studies
Language:
En
Journal:
Phys Rev E Stat Nonlin Soft Matter Phys
Journal subject:
BIOFISICA
/
FISIOLOGIA
Year:
2009
Document type:
Article
Affiliation country:
United States