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The European Physical Journal Special Topics

, Volume 191, Issue 1, pp 29–51 | Cite as

Control of coherence in excitable systems by the interplay of noise and time-delay

  • N. Kouvaris
  • L. Schimansky-Geier
  • E. Schöll
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Abstract.

The control of coherence and spectral properties of noise-induced oscillations by time delayed feedback is studied in a FitzHugh-Nagumo system and analyzed by reduced non-Markovian models. A two-state approach is considered as an abstract simplification of this excitable system. Rest and excited states are characterized by different waiting time distributions. This non-Markovian approach allows one to predict quantitatively the increase of coherence measured by the correlation time, and the modulation of the main frequencies of the stochastic dynamics in dependence on the delay time below Hopf bifurcations. Beyond the Hopf bifurcation, bulk oscillations of an ensemble of excitable two-state rotators emerge in the onset of coherent activation in case of delayed mean field coupling of the ensemble.

Keywords

Hopf Bifurcation European Physical Journal Special Topic Excitable System Wait Time Distribution Coherence Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2011

Authors and Affiliations

  • N. Kouvaris
    • 1
    • 2
  • L. Schimansky-Geier
    • 1
  • E. Schöll
    • 3
  1. 1.Humboldt-Universität zu Berlin, Institut für PhysikBerlinGermany
  2. 2.Institute of Physical Chemistry, National Center for Scientific Research “Demokritos”AthensGreece
  3. 3.Institut für Theoretische Physik, Technische Universität BerlinBerlinGermany

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