Localized Mode-Locking Structure in the Stimulus Parameter Space for a Sinusoidally Forced FitzHugh-Nagumo Neuron

被引：1

作者：

Lee, Sang-Gui ^{[1
]}

机构：

[1] POSTECH, Dept Phys, Pohang 790784, Kyungbuk, South Korea

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2010年 / 79卷 / 11期

关键词：

bifurcation analysis; phase diagram; mode-locking states; continuation algorithm; FitzHugh-Nagumo neuron; CHAOS;

D O I：

10.1143/JPSJ.79.114801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Neurons under periodic stimuli display various dynamical states including mode-locking tongues and firing onset, which has long been an interesting problem. The phase diagram in the parameter space and the bifurcations at the phase boundaries are investigated in a periodically driven FitzHugh-Nagumo neuron with the help of the bifurcation analysis and the continuation algorithm. The mode-locking structure is localized in the stimulus parameter space and enclosed by a curve, and the 1 : 1 firing state is dynamically equivalent to the nonfiring state. This localization is supposed to be originated from the polynomial form of the FitzHugh-Nagumo neural equation.

引用

页数：4