2012/10/04 by Brandon Lindley, Luis Mier-y-Terán-Romero, Lindley, Brandon +4
Biochemistry, Genetics and Molecular Biology · Computer Science · Environmental Science · Physics and Astronomy · #Diffusion and Search Dynamics #Ecosystem dynamics and resilience #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #nlin.PS
paper · pdf · doi:10.48550/arxiv.1210.1581
arxiv created 2012/10/04 · openalex publication_date 2012/10/04 · arxiv updated 2012/10/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the stability of a class of emerging patterns depends upon all moments of the time delay distribution, and predicts their bifurcation parameter ranges. Near the bifurcations of these patterns, noise may induce a transition from one type of pattern to another. We study the onset of these noise-induced swarm re-organizations by numerically simulating the system over a range of noise intensities and for various distributions of the delays. Interestingly, there is a critical noise threshold above which the system is forced to transition from a less organized state to a more organized one. We explore this phenomenon by quantifying this critical noise threshold, and note that transition time between states varies as a function of both the noise intensity and delay distribution.