2024-03-28T12:15:53Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/75332017-02-21T09:53:45Zcom_10261_2855com_10261_4col_10261_2857
http://hdl.handle.net/10261/7533
10.1016/j.physd.2005.04.020
6539
Effects of microscopic disorder on the collective dynamics of globally coupled maps
Elsevier
2005
artÃculo
Monte, Silvia de
D'Ovidio, Francesco
Chaté, Hugues
Mosekilde, Erik
Global coupling
Synchronization
Noise-induced phenomena
Collective dynamics
Macroscopically coherent dynamics
Anomalous scaling
2005-05-25
16 pages (final publisher version), 24 pages, 6 figures (attached post-print version).-- PACS nrs.: 05.45-a; 87.10.+e.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0511037
This paper studies the effect of independent additive noise on the synchronous dynamics of large populations of globally coupled maps. Our analysis is complementary to the approach taken by Teramae and Kuramoto [J. Teramae, Y. Kuramoto, Strong desynchronizing effects of weak noise in globally coupled systems, Phys. Rev. E 63 (2001) 036210] who pointed out the anomalous scaling properties preceding the loss of coherence. We focus on the macroscopic dynamics that remains deterministic at any noise level and differs from the microscopic one. Using properly defined order parameters, an analytical approach is proposed for describing the collective dynamics in terms of an approximate low-dimensional system. The systematic derivation of the macroscopic equations provides a link between the microscopic features of the population (single-element dynamics and noise distribution) and the properties of the emergent behaviour. The macroscopic bifurcations induced by noise are compared to those originating from parameter mismatches within the population.
Physica D 205(1-4)
2005
25
40