發(fā)布時(shí)間：2018-05-21 12:01

  本文選題：眼動(dòng)系統(tǒng) + 眼球震顫　； 參考：《應(yīng)用數(shù)學(xué)和力學(xué)》2017年01期

【摘要】：研究了眼動(dòng)系統(tǒng)在神經(jīng)噪聲作用下的隨機(jī)分岔現(xiàn)象.首先,基于水平眼動(dòng)系統(tǒng)模型,用加性的Gauss(高斯)白噪聲模擬神經(jīng)系統(tǒng)中的噪聲,建立眼動(dòng)系統(tǒng)的隨機(jī)動(dòng)力學(xué)模型.其次,利用數(shù)值算法得到眼球運(yùn)動(dòng)位移的Poincaré分岔圖和系統(tǒng)在不同參數(shù)下的位移和速度的穩(wěn)態(tài)聯(lián)合概率密度以及位移的穩(wěn)態(tài)概率密度.研究發(fā)現(xiàn):噪聲強(qiáng)度和抑制性神經(jīng)元的作用強(qiáng)度都能誘導(dǎo)產(chǎn)生隨機(jī)P分岔現(xiàn)象,使得位移的穩(wěn)態(tài)概率密度出現(xiàn)峰的個(gè)數(shù)從1到3的轉(zhuǎn)換,間歇性眼球震顫產(chǎn)生.此外,還發(fā)現(xiàn)當(dāng)抑制性神經(jīng)元的作用強(qiáng)度增大到一定值時(shí),穩(wěn)態(tài)概率密度始終呈現(xiàn)單峰結(jié)構(gòu).該結(jié)論對(duì)此類疾病的治療有一定的指導(dǎo)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.
【作者單位】： 天津大學(xué)機(jī)械工程學(xué)院力學(xué)系;天津市非線性動(dòng)力學(xué)與混沌控制重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金(11372211;11672349)~~
【分類號(hào)】：R339.14

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本文編號(hào)：1919104