NOISE INDUCED LIMIT CYCLES OF THE BONHOEFFER-VAN DER POL MODEL OF NEURAL PULSES.

Herbert Treutlein, Klaus Schulten

Research output: Contribution to journalConference article

Abstract

The effect of additive noise on the Bonhoeffer-van der Pol (BvP) model is studied. For this purpose the authors developed a numerical algorithm to solve the pertinent 2-dim. Fokker-Planck equation. The results demonstrate that the global behavior of the system is determined by certain lines toward which the distribution function is attracted. Those lines are also the seeds for the limit cycle in the deterministic system. The noisy BvP model exhibits a limit cycle (oscillations) even when the deterministic system does not. This behavior may explain the firing patterns of neurons.

Original languageEnglish (US)
Pages (from-to)710-718
Number of pages9
JournalBerichte der Bunsengesellschaft/Physical Chemistry Chemical Physics
Volume89
Issue number6
DOIs
StatePublished - Jun 1 1985
EventDyn Organ Syst, Discuss Meet of the Dtsch Bunsenges fuer Phys Chem -
Duration: Oct 15 1984Oct 17 1984

ASJC Scopus subject areas

  • Chemical Engineering(all)

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