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Emergence of coherent motion in aggregates of motile coupled maps

Author

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  • García Cantú Ros, A.
  • Antonopoulos, Ch.G.
  • Basios, V.

Abstract

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are able to swing along the route to chaos. Thereby, each motile can display different types of behavior, i.e. from ordered to fully erratic motion, accordingly with its surrounding conditions. The appearance of patterns of collective motion is shown to be related to the emergence of interparticle synchronization and the degree of coherence of motion is quantified by means of a graph representation. The effects related to the density of particles and to interparticle distances are explored. It is shown that the higher degrees of coherence and group cohesion are attained when the system elements display a combination of ordered and chaotic behaviors, which emerges from a collective self-organization process.

Suggested Citation

  • García Cantú Ros, A. & Antonopoulos, Ch.G. & Basios, V., 2011. "Emergence of coherent motion in aggregates of motile coupled maps," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 574-586.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:8:p:574-586
    DOI: 10.1016/j.chaos.2011.05.005
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    1. Nagy, Máté & Daruka, István & Vicsek, Tamás, 2007. "New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 445-454.
    2. H. Chaté & F. Ginelli & G. Grégoire & F. Peruani & F. Raynaud, 2008. "Modeling collective motion: variations on the Vicsek model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 64(3), pages 451-456, August.
    3. Erik M. Rauch & Mark M. Millonas & Dante R. Chialvo, 1995. "Pattern Formation and Functionality in Swarm Models," Working Papers 95-08-073, Santa Fe Institute.
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