2004/09/09 by В. Л. Кулинский, V. L. Kulinskii, Valeria Ratushnaya +8
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #Geometric and Algebraic Topology #Image Processing and 3D Reconstruction #Modular Robots and Swarm Intelligence #physics.class-ph #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0409046
5 pages, 1 figure
arxiv created 2004/09/09 · openalex publication_date 2004/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the dynamics of systems of self propelling particles with nonholonomic constraints. A continuum model for a discrete algorithm used in works by T. Vicsek et al. is proposed. For a case of planar geometry the finite flocking behavior is obtained. The circulation of the velocity field is found not to be conserved as a consequence of the nonholomicity. The stability of ordered motion with respect to noise is discussed. An analogy with the kinetics of charges in superconductors is noted.