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Dynamics of ensemble of inhibitory coupled Rulkov maps

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  • Synchronization, Control and Dynamics of Chaotic Models
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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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Authors and 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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  • DOI: https://doi.org/10.1140/epjst/e2016-02623-x

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