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      Stability analysis of swarms

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      Journal: IEEE Transactions on Automatic Control
      Publisher: Institute of Electrical and Electronics Engineers (IEEE)

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          Novel type of phase transition in a system of self-driven particles

          Andras Czirok, Ofer Sochet, Tamás Vicsek … (2006)
          A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant absolute velocity and at each time step assume the average direction of motion of the particles in their neighborhood with some random perturbation (\(\eta\)) added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, \(| {\bf v}_a | =0\)) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous since \(| {\bf v}_a |\) is found to scale as \((\eta_c-\eta)^\beta\) with \(\beta\simeq 0.45\).
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            Behavior-based formation control for multirobot teams

            M T Balch, R.C. Arkin (1998)
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              Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds

              A Okubo (1986)
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                Author and article information

                Journal
                Title: IEEE Transactions on Automatic Control
                Abbreviated Title: IEEE Trans. Automat. Contr.
                Publisher: Institute of Electrical and Electronics Engineers (IEEE)
                ISSN (Print): 0018-9286
                Publication date Created: April 2003
                Publication date (Print): April 2003
                Volume: 48
                Issue: 4
                Pages: 692-697
                Article
                DOI: 10.1109/TAC.2003.809765
                SO-VID: da66ceb8-bfeb-4cbf-a487-8fb518fea9c9
                Copyright © © 2003
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