# Collective behavior in the system of self propelling particles with nonholonomic constraints

Source: [Collective behavior in the system of self propelling particles with nonholonomic constraints](<https://www.sota2.com/research/paper/68fa1fd37a2b558e2932c83a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T19:45:42.542Z

Authors: V. L. Kulinskii, V. I. Ratushnaya, A. V. Zvelindovsky, D. Bedeaux

Published: 2004-09-09T09:59:34.000Z

## Abstract

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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/physics/0409046>)

[PDF](<https://arxiv.org/pdf/physics/0409046.pdf>)