Interplay of noise and coupling in heterogeneous ensembles of phase oscillators |
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Authors: | D H Zanette |
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Institution: | (1) Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche, Río Negro, Argentina |
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Abstract: | We study the effects of noise on the collective dynamics of an ensemble of coupled phase oscillators whose natural frequencies
are all identical, but whose coupling strengths are not the same all over the ensemble. The intensity of noise can also be
heterogeneous, representing diversity in the individual responses to external fluctuations. We show that the desynchronization
transition induced by noise may be completely suppressed, even for arbitrarily large noise intensities, is the distribution
of coupling strengths decays slowly enough for large couplings. Equivalently, if the response to noise of a sufficiently large
fraction of the ensemble is weak enough, desynchronization cannot occur. The two effects combine with each other when the
response to noise and the coupling strength of each oscillator are correlated. This combination is quantitatively characterized
and illustrated with explicit examples. |
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Keywords: | PACS" target="_blank">PACS 05 45 Xt Synchronization coupled oscillators 89 75 Fb Structures and organization in complex systems 05 70 Fh Phase transitions: general studies |
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