2003/07/31 by D. Huber, Lev S. Tsimring, L. S. Tsimring
Computer Science · Environmental Science · Physics and Astronomy · #Ecosystem dynamics and resilience #Nonlinear Dynamics and Pattern Formation #cond-mat.stat-mech #nlin.AO #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.91.260601
4 pages, 3 figures. Accepted for publication in Phys. Rev. Lett
arxiv created 2003/12/11 · openalex publication_date 2003/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level, the system undergoes ordering transitions and demonstrates multistability. That is, for a strong enough positive feedback it exhibits a nonzero stationary mean-field,and a variety of stable oscillatory mean-field states are accessible for positive and negative feedback. The regularity of the oscillatory states is maximal for a certain noise level; i.e., the system demonstrates coherence resonance. While away from the transition points the system dynamics is well described by a Gaussian approximation, near the bifurcation points a description in terms of a dichotomous theory is more adequate.