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The European Physical Journal Special Topics

, Volume 227, Issue 10–11, pp 1077–1090 | Cite as

Noise-induced switching in two adaptively coupled excitable systems

  • Iva Bačić
  • Serhiy Yanchuk
  • Matthias Wolfrum
  • Igor FranovićEmail author
Regular Article
Part of the following topical collections:
  1. Advances in Nonlinear Dynamics of Complex Networks: Adaptivity, Stochasticity, Delays

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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Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Iva Bačić
    • 1
  • Serhiy Yanchuk
    • 2
  • Matthias Wolfrum
    • 3
  • Igor Franović
    • 1
    Email author
  1. 1.Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of BelgradeBelgradeSerbia
  2. 2.Institute of MathematicsTechnische Universität BerlinBerlinGermany
  3. 3.Weierstrass InstituteBerlinGermany

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