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Noise-induced switching in two adaptively coupled excitable systems

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Abstract

We demonstrate that the interplay of noise and plasticity gives rise to slow stochastic fluctuations in a system of two adaptively coupled active rotators with excitable local dynamics. Depending on the adaptation rate, two qualitatively different types of switching behavior are observed. For slower adaptation, one finds alternation between two modes of noise-induced oscillations, whereby the modes are distinguished by the different order of spiking between the units. In case of faster adaptation, the system switches between the metastable states derived from coexisting attractors of the corresponding deterministic system, whereby the phases exhibit a bursting-like behavior. The qualitative features of the switching dynamics are analyzed within the framework of fast-slow analysis.

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Authors and Affiliations

  1. Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080, Belgrade, Serbia

    Iva Bačić & Igor Franović

  2. Institute of Mathematics, Technische Universität Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany

    Serhiy Yanchuk

  3. Weierstrass Institute, Mohrenstrasse 39, 10117, Berlin, Germany

    Matthias Wolfrum

Authors
  1. Iva Bačić
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  2. Serhiy Yanchuk
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  3. Matthias Wolfrum
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  4. Igor Franović
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Corresponding author

Correspondence to Igor Franović.

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Bačić, I., Yanchuk, S., Wolfrum, M. et al. Noise-induced switching in two adaptively coupled excitable systems. Eur. Phys. J. Spec. Top. 227, 1077–1090 (2018). https://doi.org/10.1140/epjst/e2018-800084-6

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  • DOI: https://doi.org/10.1140/epjst/e2018-800084-6

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