使用福克-普朗克方程对具有兴奋性和抑制性连接的全局连接活性旋转器进行分析。
Analysis of globally connected active rotators with excitatory and inhibitory connections using the Fokker-Planck equation.
作者信息
Kanamaru Takashi, Sekine Masatoshi
机构信息
Department of Electrical and Electronic Engineering, Faculty of Technology, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Mar;67(3 Pt 1):031916. doi: 10.1103/PhysRevE.67.031916. Epub 2003 Mar 24.
The globally connected active rotators with excitatory and inhibitory connections are analyzed using the nonlinear Fokker-Planck equation. The bifurcation diagram of the system is obtained numerically, and both periodic solutions and chaotic solutions are found. By observing the interspike interval, the coefficient of variance, and the correlation coefficient of the system, the relationship of our model to the biological data is discussed.
利用非线性福克 - 普朗克方程对具有兴奋性和抑制性连接的全局连接有源旋转器进行了分析。通过数值方法得到了系统的分岔图，并发现了周期解和混沌解。通过观察系统的峰峰间隔、方差系数和相关系数，讨论了我们的模型与生物学数据的关系。
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