Journal
EUROPHYSICS LETTERS
Volume 71, Issue 2, Pages 207-213Publisher
EDP SCIENCES S A
DOI: 10.1209/epl/i2005-10086-2
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We consider the dynamics of systems of self-propelling particles with kinematic constraints on the velocities. A continuum model for a discrete algorithm used in works by Vicsek et al. is proposed. For a case of planar geometry, finite-flocking behavior is obtained. The circulation of the velocity field is found not to be conserved. The stability of ordered motion with respect to noise is discussed.
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