Enhancement of Signal Response in Complex Networks Induced by Topology and Noise

  • Juan A. Acebréon
  • Sergi Lozano
  • Alex Arenas
Part of the Understanding Complex Systems book series (UCS)


The effect of the topological structure of a coupled dynamical system in presence of noise on the signal response is investigated. In particular, we consider the response of a noisy overdamped bistable dynamical system driven by a periodic force, and linearly coupled through a complex network of interactions. We find that the interplay among the heterogeneity of the network and the noise plays a crucial role in the signal response of the dynamical system. This has been validated by extensive numerical simulations conducted in a variety of networks. Furthermore, we propose analytically tractable models based on simple topologies, which explain the observed behavior.


Stochastic Resonance Star Network Simple Topology Extensive Numerical Simulation Stochastic Resonance Phenomenon 
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  1. 1.
    Bulsara, A.R., Gammaitoni, L.: Tuning in to Noise. Phys. Today 49, 39 (1996).CrossRefGoogle Scholar
  2. 2.
    Lindner, J.F., Meadows, B.K., Ditto, W., Inchiosa, M.E., Bulsara, A.R.: Array Enhanced Stochastic Resonance and Spatiotemporal Synchronization. Phys. Rev. Lett. 75 3 (1995).CrossRefGoogle Scholar
  3. 3.
    Acebrón, J.A., Lozano, S., and Arenas, A.: Amplified signal response in scale-free networks by collaborative signaling. Phys. Rev. Lett. 99(12), 128701 (2007).CrossRefGoogle Scholar
  4. 4.
    Bollobas, B.: Random Graphs (2nd edition), Cambridge University Press, New York (2001).zbMATHGoogle Scholar
  5. 5.
    Barabasi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509–511 (1999).CrossRefMathSciNetGoogle Scholar
  6. 6.
    Tessone, C.J., Mirasso, C.R., Toral, R., Gunton, J.D.: Diversity-induced resonance. Phys. Rev. Lett. 97 194101 (2006).CrossRefGoogle Scholar
  7. 7.
    Acebrón, J.A., Bonilla, L.L., Perez Vicente, C.J., Ritort, F., Spigler, R.: The Kuramoto model: A simple paradigm for synchronization phenomena. Rev. Mod. Phys. 77, 137 (2005).CrossRefGoogle Scholar
  8. 8.
    Gómez-Gardeñes, J., Moreno, Y., Arenas, A.: Paths to Synchronization on Complex Networks. Phys. Rev. Lett. 98, 034101 (2007)CrossRefGoogle Scholar
  9. 9.
    Gammaitoni, L., Hänggi, P., Jung, P., Marchesoni, F.:Stochastic resonance. Rev. Mod. Phys. 70 223 (1998).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Juan A. Acebréon
    • 1
  • Sergi Lozano
  • Alex Arenas
  1. 1.Departament d’Enginyeria Informatica i MatematiquesUniversitat Rovirai VirgiliCatalonia

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