摘要
研究了肾上腺轴激素脉冲分泌的混沌行为.首先,利用Matlab软件求解此系统的非均匀振荡解,倍周期振荡解,并绘制相图及分岔图.根据非均匀振荡解计算肾上腺轴激素分泌的特征量,所得结论与激素特征量的实验测得值相符合.说明激素的脉冲分泌具有非均匀振荡和混沌两种可能.其次,通过求解激素脉冲分泌的数值解,利用Matlab软件绘制系统的混沌吸引子图、分岔图和Lyapunov指数图,证明激素分泌过程是混沌现象.
This paper mainly studies the chaotic behavior of adrenal axis hormone pulse secretion.Firstly,Matlab software is used to solve the non-uniform oscillation solution and period-doubling oscillation solution of this system,and the phase diagram and bifurcation diagram are drawn.According to the non-uniform oscillation solution,the characteristic quantity of adrenal axis hormone secretion is calculated,and the conclusion is in agreement with the experimental value of hormone characteristic quantity.It is suggested that the pulse secretion of hormone has two possibilities:non-uniform oscillation and chaos.Secondly,by solving the numerical solution of hormone pulse secretion,Matlab software is used to draw the chaotic attractor diagram,bifurcation diagram and Lyapunov index diagram of the system,which proves that the hormone secretion process is chaotic.
作者
纳治国
吐尔逊·艾迪力比克
巴合提古丽·阿斯里别克
NA Zhi-guo;Tuerxun·Aidilibike;Bahetiguli·Asilibieke(College of Electronic and Information Engineering,Yili Normal University,Yining 835000,China;Xinjiang Key Laboratory for Luminescence Minerals and Optical Functional Materials,School of Physics and Electronic Engineering,Xinjiang Normal University,Urumqi 830054,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2024年第4期89-97,共9页
Journal of Northeast Normal University(Natural Science Edition)
基金
新疆乌鲁木齐自治区重点实验项目(XJNU2024016)
高等学校办学课程教学研究项目(JZW-24-LX10)。
关键词
肾上腺轴
激素
脉冲分泌
混沌
分岔
adrenal axis
hormone
pulse secretion
chaos
bifurcation
