IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v399y2014icp24-30.html
   My bibliography  Save this article

Localized coherence in two interacting populations of social agents

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711301159X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2013.12.035?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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).
    3. 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).
    4. Ghosh, Anupam, 2023. "Measure synchronization in interacting Hamiltonian systems: A brief review," Chaos, Solitons & Fractals, Elsevier, vol. 177(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.
    6. Rybalova, E. & Averyanov, V. & Lozi, R. & Strelkova, G., 2024. "Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    7. 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).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:399:y:2014:i:c:p:24-30. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.