| Experimental identification of a comb-shaped chaotic region in multiple parameter spaces simulated by the Hindmarsh–Rose neuron model |
| |
| 引用本文： | 贾冰. Experimental identification of a comb-shaped chaotic region in multiple parameter spaces simulated by the Hindmarsh–Rose neuron model[J]. 中国物理 B, 2014, 0(3): 179-185 |
| |
| 作者姓名： | 贾冰 |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11072135) |
| |
| 摘 要： | A comb-shaped chaotic region has been simulated in multiple two-dimensional parameter spaces using the Hindmarsh-Rose （HR） neuron model in many recent studies, which can interpret almost all of the previously simulated bifurcation processes with chaos in neural firing patterns. In the present paper, a comb-shaped chaotic region in a two- dimensional parameter space was reproduced, which presented different processes of period-adding bifurcations with chaos with changing one parameter and fixed the other parameter at different levels. In the biological experiments, different period-adding bifurcation scenarios with chaos by decreasing the extra-cellular calcium concentration were observed from some neural pacemakers at different levels of extra-cellular 4-aminopyridine concentration and from other pacemakers at different levels of extra-cellular caesium concentration. By using the nonlinear time series analysis method, the determin- istic dynamics of the experimental chaotic firings were investigated. The period-adding bifurcations with chaos observed in the experiments resembled those simulated in the comb-shaped chaotic region using the HR model. The experimental results show that period-adding bifurcations with chaos are preserved in different two-dimensional parameter spaces, which provides evidence of the existence of the comb-shaped chaotic region and a demonstration of the simulation results in dif- ferent two-dimensional parameter spaces in the HR neuron model. The results also present relationships between different firing patterns in two-dimensional parameter spaces.
|
| 关 键 词： | 神经元模型 混沌区域 参数空间 模型模拟 实验鉴定 梳形 时间序列分析方法 钙离子浓度 |
Experimental identification of a comb-shaped chaotic region in multiple parameter spaces simulated by the Hindmarsh-Rose neuron model |
| |
| Abstract: | chaos, neural firing, bifurcation, Hindmarsh-Rose model |
| |
| Keywords: | chaos neural firing bifurcation Hindmarsh-Rose model |
| 本文献已被 CNKI 维普 等数据库收录！ |
