2003/01/06 by Silvia De Monte, De Monte, Silvia, Francesco d’Ovidio +4
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/0301056
5 pages, 4 figures
openalex publication_date 2003/01/06 · arxiv created 2003/01/07 · arxiv updated 2009/11/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
Populations of globally coupled identical maps subject to additive,\nindependent noise are studied in the regimes of strong coupling. Contrary to\neach noisy population element, the mean field dynamics undergoes qualitative\nchanges when the noise strength is varied. In the limit of infinite population\nsize, these macroscopic bifurcations can be accounted for by a deterministic\nsystem, where the mean-field, having the same dynamics of each uncoupled\nelement, is coupled with other order parameters. Different approximation\nschemes are proposed for polynomial and exponential functions and their\nvalidity discussed for logistic and excitable maps.\n