2009/12/22 by Federico Dalmao, Ernesto Mordecki, Dalmao, Federico +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #60K99 #Diffusion and Search Dynamics #Distributed Control Multi-Agent Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.0912.4535
openalex publication_date 2009/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a flock of birds that fly interacting between them. The interactions are modelled through a hierarchical system in which each bird, at each time step, adjusts its own velocity according to his past velocity and a weighted mean of the relative velocities of its superiors in the hierarchy. We consider the additional fact, that each of the birds can fail to see any of its superiors with certain probability, that can depend on the distances between them. For this model with random interactions we prove that the flocking phenomena, obtained for similar deterministic models, holds true.