TY - JOUR
T1 - NOISE INDUCED LIMIT CYCLES OF THE BONHOEFFER-VAN DER POL MODEL OF NEURAL PULSES.
AU - Treutlein, Herbert
AU - Schulten, Klaus
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1985/6/1
Y1 - 1985/6/1
N2 - 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.
AB - 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.
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U2 - 10.1002/bbpc.19850890626
DO - 10.1002/bbpc.19850890626
M3 - Conference article
AN - SCOPUS:0021445898
SN - 0005-9021
VL - 89
SP - 710
EP - 718
JO - Berichte der Bunsengesellschaft/Physical Chemistry Chemical Physics
JF - Berichte der Bunsengesellschaft/Physical Chemistry Chemical Physics
IS - 6
T2 - Dyn Organ Syst, Discuss Meet of the Dtsch Bunsenges fuer Phys Chem
Y2 - 15 October 1984 through 17 October 1984
ER -