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Localized coherence in two interacting populations of social agents

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  • González-Avella, J.C.
  • Cosenza, M.G.
  • San Miguel, M.

Abstract

We investigate the emergence of localized coherent behavior in systems consisting of two populations of social agents possessing a condition for non-interacting states, mutually coupled through global interaction fields. We employ two examples of such dynamics: (i) Axelrod’s model for social influence, and (ii) a discrete version of a bounded confidence model for opinion formation. In each case, the global interaction fields correspond to the statistical mode of the states of the agents in each population. In both systems we find localized coherent states for some values of parameters, consisting of one population in a homogeneous state and the other in a disordered state. This situation can be considered as a social analogue to a chimera state arising in two interacting populations of oscillators. In addition, other asymptotic collective behaviors appear in both systems depending on parameter values: a common homogeneous state, where both populations reach the same state; different homogeneous states, where both population reach homogeneous states different from each other; and a disordered state, where both populations reach inhomogeneous states.

Suggested Citation

  • González-Avella, J.C. & Cosenza, M.G. & San Miguel, M., 2014. "Localized coherence in two interacting populations of social agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 24-30.
    • Handle: RePEc:eee:phsmap:v:399:y:2014:i:c:p:24-30
    DOI: 10.1016/j.physa.2013.12.035
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    Cited by:

    1. Ngueuteu Mbouna, S.G. & Banerjee, Tanmoy & Yamapi, René & Woafo, Paul, 2022. "Diverse chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Collet, Jacques Henri & Fanchon, Jean, 2015. "Crystallization and tile separation in the multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 405-417.
    3. Nganso, E. Njinkeu & Mbouna, S.G. Ngueuteu & Yamapi, R. & Filatrella, G. & Kurths, J., 2023. "Two-attractor chimera and solitary states in a network of nonlocally coupled birhythmic van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Alvarez-Socorro, A.J. & Clerc, M.G. & Ferré, M.A., 2020. "Wandering walk of chimera states in a continuous medium," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    5. Kalloniatis, Alexander C. & Zuparic, Mathew L., 2016. "Fixed points and stability in the two-network frustrated Kuramoto model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 21-35.

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