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Metastability and functional integration in anisotropically coupled map lattices

  • Statistical and Nonlinear Physics
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Abstract.

Metastability is a property of systems composed of many interacting parts wherein the parts exhibit simultaneously a tendency to function autonomously (local segregation) and a tendency to cooperate (global integration). We study anisotropically coupled map lattices and discover that for specific values of the coupling control parameters the entire system transits to a metastable regime. We show that this regime manifests a quasi-stable state in which the system can flexibly switch to another such state. We briefly discuss the relevance of our findings for information processing, functional integration, metastability in the brain, and phase transitions in complex systems.

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References

  • R. Albert, A.L. Barabási, Rev. Mod. Phys. 74, 47 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  • S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D. Hwang, Phys. Rep. 424, 175 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  • A.S. Pikovsky, M.G. Rosenblum, J. Kurths, Synchronization (Cambridge Press, 2001)

  • J. Ito, K. Kaneko, Phys. Rev. E 67 (2003)

  • A. Venaille, P. Varona, M. Rabinovich, Phys. Rev. E 71, (2005)

  • T. Pereira, M. Baptista, J. Kurths, Eur. Phys. J. Special Topics 146, 155 (2007)

    Article  Google Scholar 

  • N. Masuda, K. Aihara, Biological Cybernetics 90, (2004)

  • M. Ivancheko, G. Osipov, V. Shalfeev, J. Kurths, Phys. Rev. Lett. 93, (2004)

  • G. Osipov, M. Ivancheko, J. Kurths, B. Hu, Phys. Rev. E 71 (2005)

  • C. Zhou, L. Zemanova, G. Zamora, C. Hilgetag, J. Kurths, Phys. Rev. Lett. 97, (2006)

  • L. Zemanova, C. Zhou, J. Kurths, Physica D 224, (2006)

  • C. Honey, R. Kotter, M. Breakspear, O. Sporns, Proc. Natl. Acad. Sci. USA 104, 10240 (2007)

    Article  ADS  Google Scholar 

  • S.L. Bressler, J.A. Kelso, Trends in Cognitive Science 5, 26 (2001)

    Article  Google Scholar 

  • A. Fingelkurts, A. Fingelkurts, Int. J. Neurosc. 114, 843 (2004)

    Article  Google Scholar 

  • M.G. Werner, Proceedings The Evolution of Human Cognition and Neuroscience (Les Treilles, Provence, France, 2006)

  • K. Kaneko, Prog. Theor. Phys. 72, 480 (1984)

    Article  MATH  ADS  Google Scholar 

  • Y. Dobyns, H. Atmanspacher, Chaos, Solitons and Fractals 28, 755 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  • W. McGill, IEEE Trans. Inform. Theory 4, 93 (1954)

    Article  MathSciNet  Google Scholar 

  • G. Tononi, O. Sporns, G.M. Edelman, Proc. Natl. Acad. Sci. USA 91, 5033 (1994)

    Article  ADS  Google Scholar 

  • E. Schneidman, S. Still, M.J. Berry, W. Bialek, Phys. Rev. Lett. 91, 238701 (2003)

    Article  ADS  Google Scholar 

  • G. Tononi, O. Sporns, G.M. Edelman, Proc. Natl. Acad. Sci. USA 93, 3422 (1996)

    Article  ADS  Google Scholar 

  • F.C. Hoppensteadt, E.M. Izhikevich, Phys. Rev. E 62, 4010 (2000)

    Article  ADS  Google Scholar 

  • G. Tononi, O. Sporns, BMC Neurosc. 4, 31 (2003)

    Article  Google Scholar 

  • K. Doya, Neural Network 15, 495 (2002)

    Article  ADS  Google Scholar 

  • S. Dehaene, J. Changeux, Plos 3, 1 (2005)

    Article  Google Scholar 

  • E. Izhikevich, G. Edelman, PNAS 105, 3593 (2008)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. ERATO Synergistic Intelligence Project, JST, The University of Tokyo, 113-8656, Tokyo, Japan

    A. Pitti, M. Lungarella & Y. Kuniyoshi

  2. Artificial Intelligence Lab, University of Zurich, 8050, Zurich, Switzerland

    M. Lungarella

  3. ISI Laboratory, Dept. of Mechano-Informatics, The University of Tokyo, 113-8656, Tokyo, Japan

    Y. Kuniyoshi

Authors
  1. A. Pitti
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  2. M. Lungarella
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  3. Y. Kuniyoshi
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Correspondence to A. Pitti.

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Pitti, A., Lungarella, M. & Kuniyoshi, Y. Metastability and functional integration in anisotropically coupled map lattices. Eur. Phys. J. B 63, 239–243 (2008). https://doi.org/10.1140/epjb/e2008-00238-2

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  • DOI: https://doi.org/10.1140/epjb/e2008-00238-2

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