On Chaotic Subthreshold Oscillations in a Simple Neuronal Model

被引：2
|
作者：
Zaks, M. [1 ]
机构：
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2011年 / 6卷 / 01期
关键词：
slow-fast equations; period-doubling bifurcation; AREA-PRESERVING MAPS; UNIVERSALITY; CANARDS;
D O I：
10.1051/mmnp/20116108
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In a simple FitzHugh-Nagumo neuronal model with one fast and two slow variables, a sequence of period-doubling bifurcations for small-scale oscillations precedes the transition into the spiking regime. For a wide range of values of the timescale separation parameter, this scenario is recovered numerically. Its relation to the singularly perturbed integrable system is discussed.
引用
收藏
页码：149 / 162
页数：14
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