噪声激励下水平扫视眼动系统的随机分岔

发布时间：2018-05-21 12:01

本文选题：眼动系统 + 眼球震颤　；参考：《应用数学和力学》2017年01期

【摘要】：研究了眼动系统在神经噪声作用下的随机分岔现象.首先,基于水平眼动系统模型,用加性的Gauss(高斯)白噪声模拟神经系统中的噪声,建立眼动系统的随机动力学模型.其次,利用数值算法得到眼球运动位移的Poincaré分岔图和系统在不同参数下的位移和速度的稳态联合概率密度以及位移的稳态概率密度.研究发现:噪声强度和抑制性神经元的作用强度都能诱导产生随机P分岔现象,使得位移的稳态概率密度出现峰的个数从1到3的转换,间歇性眼球震颤产生.此外,还发现当抑制性神经元的作用强度增大到一定值时,稳态概率密度始终呈现单峰结构.该结论对此类疾病的治疗有一定的指导作用.
[Abstract]:The random bifurcation of eye movement system under the action of neural noise is studied. Firstly, based on the horizontal eye movement system model, the additive Gaussian (Gao Si) white noise is used to simulate the noise in the nervous system, and the stochastic dynamic model of the eye movement system is established. Secondly, the Poincar 茅 bifurcation diagram of eye movement displacement and the steady-state joint probability density of displacement and velocity and the steady-state probability density of displacement are obtained by numerical algorithm. It is found that both the noise intensity and the action intensity of the inhibitory neurons can induce random P bifurcation, which results in the conversion of the number of peaks in the steady-state probability density of displacement from 1 to 3, and the occurrence of intermittent nystagmus. In addition, it is found that the steady-state probability density always presents a single-peak structure when the action intensity of the inhibitory neurons increases to a certain value. This conclusion has a certain guiding effect on the treatment of this kind of disease.
【作者单位】：天津大学机械工程学院力学系;天津市非线性动力学与混沌控制重点实验室;
【基金】：国家自然科学基金(11372211;11672349)~~
【分类号】：R339.14

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