NOISE INDUCED LIMIT-CYCLES OF THE BONHOEFFER-VANDERPOL MODEL OF NEURAL PULSES

被引:59
作者
TREUTLEIN, H
SCHULTEN, K
机构
[1] Technische Univ Muenchen, Physik, Dep, Garching, West Ger, Technische Univ Muenchen, Physik Dep, Garching, West Ger
来源
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS | 1985年 / 89卷 / 06期
关键词
SYSTEMS SCIENCE AND CYBERNETICS - Neural Nets;
D O I
10.1002/bbpc.19850890626
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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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页码:710 / 718
页数:9
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