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Transmission of information at criticality

Author

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  • Luković, Mirko
  • Vanni, Fabio
  • Svenkeson, Adam
  • Grigolini, Paolo

Abstract

We study the problem of information transmission in complex cooperative systems to prove that adaptivity rather than diffusion is the main source of information transport at criticality. We adopt two different cooperative models, the two-dimensional Decision Making Model (DMM), and the one-dimensional Flock Model (FM) inspired by the cooperation between birds. The criticality-induced consensus is intermittently broken by the occurrence of moments of high susceptibility, which we call free-will states. We construct a network A based on the DMM and FM that is perturbed by a similar network B. Some units of A, called lookout birds, follow the directions of the mean field generated by B, while the rest are blind to B. When both networks are at criticality a small percentage of lookout birds establish the synchronization between B and A as a result of the nonergodic nature of the free-will state dynamics.

Suggested Citation

  • Luković, Mirko & Vanni, Fabio & Svenkeson, Adam & Grigolini, Paolo, 2014. "Transmission of information at criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 430-438.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:430-438
    DOI: 10.1016/j.physa.2014.08.066
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    References listed on IDEAS

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    1. Bianco, Simone & Geneston, Elvis & Grigolini, Paolo & Ignaccolo, Massimiliano, 2008. "Renewal aging as emerging property of phase synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1387-1392.
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    Cited by:

    1. Fister, Iztok & Perc, Matjaž & Ljubič, Karin & Kamal, Salahuddin M. & Iglesias, Andres & Fister, Iztok, 2015. "Particle swarm optimization for automatic creation of complex graphic characters," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 29-35.
    2. Grigolini, Paolo, 2015. "Emergence of biological complexity: Criticality, renewal and memory," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 575-588.
    3. Kornilov, Maksim V. & Medvedeva, Tatiana M. & Bezruchko, Boris P. & Sysoev, Ilya V., 2016. "Choosing the optimal model parameters for Granger causality in application to time series with main timescale," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 11-21.
    4. Mahmoodi, Korosh & West, Bruce J. & Grigolini, Paolo, 2020. "On the dynamical foundation of multifractality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    5. Korosh Mahmoodi & Bruce J. West & Paolo Grigolini, 2018. "Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability," Complexity, Hindawi, vol. 2018, pages 1-10, March.

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