Dynamics of ensemble of inhibitory coupled Rulkov maps

The European Physical Journal Special Topics volume 225, pages 147–157 (2016)Cite this article

Abstract

The motif of three inhibitory coupled Rulkov elements is studied. Possible dynamical regimes, including different types of sequential activity, winner-take-all activity and chaotic activity, are in the focus of this paper. In particular, a new transition scenario from sequential activity to winner-take-all activity through chaos is uncovered. This study can be used in high performance computation of large neuron-like ensembles for the modeling of neuron-like activity.

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Author information

Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia

    T.A. Levanova, G.V. Osipov & J. Kurths

  2. National Research University Higher School of Economics, Nizhny Novgorod, 603155, Russia

    A.O. Kazakov

  3. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, 603950, Russia

    G.V. Osipov & J. Kurths

  4. Potsdam Institute for Climate Impact Research, Potsdam, 14473, Germany

    J. Kurths

Authors
  1. T.A. Levanova
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  2. A.O. Kazakov
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  3. G.V. Osipov
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  4. J. Kurths
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Correspondence to T.A. Levanova.

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Levanova, T., Kazakov, A., Osipov, G. et al. Dynamics of ensemble of inhibitory coupled Rulkov maps. Eur. Phys. J. Spec. Top. 225, 147–157 (2016). https://doi.org/10.1140/epjst/e2016-02623-x

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Keywords

  • Chaotic System
  • European Physical Journal Special Topic
  • Periodic Point
  • Spike Activity
  • Dynamical Regime