Bifurcations in synaptically coupled Hodgkin-Huxley neurons with a periodic input

被引：9
|
作者：
Tsumoto, K [1 ]
Yoshinaga, T
Aihara, K
Kawakami, H
机构：
[1] Univ Tokushima, Fac Engn, Dept Elect & Elect Engn, Tokushima 7708506, Japan
[2] Univ Tokushima, Sch Hlth Sci, Dept Radiol Sci & Engn, Tokushima 7708509, Japan
[3] Univ Tokyo, Grad Sch Frontier Sci, Dept Complex Sci & Engn, Tokyo 1138656, Japan
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 03期
关键词：
Hodgkin-Huxley neuron; bifurcation analysis; synaptically coupled neurons; subthreshold and suprathreshold dynamics; phase locked oscillation;
D O I：
10.1142/S0218127403006832
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate bifurcations in responses of two Hodgkin-Huxley neurons coupled to each other and forced by a periodic pulse train, through the characteristics of synaptic transmissions with an a-function and a time delay. Based on a computational method we previously presented, we show a mechanism of transitions among various kinds of nonperiodic as well as harmonic and subharmonic frequency-locked oscillations. The bifurcation analysis clarifies dependence of sub- and supra-threshold dynamics on coupling and forcing effects.
引用
收藏
页码：653 / 666
页数：14
相关论文
共 50 条
  • [1] A method to calculate bifurcations in synaptically coupled Hodgkin-Huxley equations
    Yoshinaga, T
    Sano, Y
    Kawakami, H
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1451 - 1458
  • [2] Spiking phase control in synaptically coupled Hodgkin-Huxley neurons
    Efimova, Natalia
    Tyukin, Ivan
    Kazantsev, Victor
    CHAOS SOLITONS & FRACTALS, 2024, 185
  • [3] Synchrony and Clustering in Two and Three Synaptically Coupled Hodgkin-Huxley Neurons with a Time Delay
    Int J Bifurcations Chaos Appl Sci Eng, 4 (889):
  • [4] Synchrony and clustering in two and three synaptically coupled Hodgkin-Huxley neurons with a time delay
    Lee, SG
    Kim, S
    Kook, H
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (04): : 889 - 895
  • [5] DYNAMICS OF SPIRAL WAVE IN THE COUPLED HODGKIN-HUXLEY NEURONS
    Yu, Guang
    Ma, Jun
    Jia, Ya
    Tang, Jun
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (23): : 4555 - 4562
  • [6] PHASE DYNAMICS FOR WEAKLY COUPLED HODGKIN-HUXLEY NEURONS
    HANSEL, D
    MATO, G
    MEUNIER, C
    EUROPHYSICS LETTERS, 1993, 23 (05): : 367 - 372
  • [7] Control of Hopf Bifurcations in Hodgkin-Huxley Neurons by Automatic Temperature Manipulation
    Doruk, Resat Ozgur
    NEUROQUANTOLOGY, 2018, 16 (02) : 59 - 74
  • [8] Analysis of phase models for two coupled Hodgkin-Huxley neurons
    Park, MH
    Kim, SW
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 1996, 29 (01) : 9 - 16
  • [9] Bifurcations Features of the Hodgkin-Huxley Neuron Model
    Romanyshyn, Yuriy
    Yelmanov, Sergei
    Vaskiv, Hryhoriy
    Grybyk, Igor
    15TH INTERNATIONAL CONFERENCE ON ADVANCED TRENDS IN RADIOELECTRONICS, TELECOMMUNICATIONS AND COMPUTER ENGINEERING (TCSET - 2020), 2020, : 886 - 889
  • [10] CONTROL AND SYNCHRONIZATION OF HODGKIN-HUXLEY NEURONS
    Puebla, H.
    Aguilar-Lopez, R.
    Ramirez-Castelan, E.
    Hernandez-Martinez, E.
    Alvarez-Ramirez, J.
    BIOMAT 2009, 2010, : 125 - +
12345