The European Physical Journal Special Topics

, Volume 143, Issue 1, pp 245–247 | Cite as

Random global coupling induces synchronization and nontrivial collective behavior in networks of chaotic maps

  • O. Alvarez-Llamoza
  • K. Tucci
  • M. G. Cosenza
  • M. Pineda
Article

Abstract.

The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given time. It is shown that the reinjection of the mean field to a fraction of randomly selected elements can induce synchronization and nontrivial collective behavior in the system. The regions where these collective states emerge on the space of parameters of the system are calculated.

Keywords

EUROPEAN Physical Journal Special Topic Bifurcation Diagram Venezuela Local Dynamic Collective State 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Newman, A. Barabasi, D.J. Watts, The structure and Dynamics of Networks (Princeton University Press, Princeton, NJ, 2006) Google Scholar
  2. T. Kawabe, Y. Kondo, Prog. Theor. Phys. 85, 759 (1991) CrossRefADSMathSciNetGoogle Scholar
  3. K. Kaneko, Phys. Rev. Lett. 65, 1391 (1990) CrossRefADSMathSciNetGoogle Scholar
  4. H. Chaté, P. Manneville, Europhys. Lett. 17, 291 (1992) ADSMathSciNetGoogle Scholar
  5. M.G. Cosenza, J. González, Prog. Theor. Phys. 100, 21 (1998) CrossRefADSMathSciNetGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • O. Alvarez-Llamoza
    • 1
    • 2
  • K. Tucci
    • 3
  • M. G. Cosenza
    • 2
  • M. Pineda
    • 4
  1. 1.Departamento de Física, FACYTUniversidad de CaraboboValenciaVenezuela
  2. 2.Centro de Física Fundamental, Universidad de los AndesMéridaVenezuela
  3. 3.SUMA-CESIMO, Universidad de Los AndesMéridaVenezuela
  4. 4.Institut fuer Physikalische Chemie und Elektrochemie, Universitaet HannoverHannoverGermany

Personalised recommendations