摘要
研究一类具有时滞的Lorenz型系统.以时滞τ作为分支参数,利用Hassard方法及规范型理论,对系统Hopf分支产生的条件、方向、周期解产生的稳定性及系统中的混沌现象进行研究.利用MATLAB进行数值模拟,对结论进行验证.
In this paper,a class of Lorenz-type systems with time delay was studied.Taking time delayτas the bifurcation parameter,the conditions,directions,stability of periodic solutions and chaos in the system were studied by using Hassard method and canonical theory.The results were verified by numerical simulation with MATLAB.
作者
杨文杰
尹圆圆
YANG Wenjie;YIN Yuanyuan(School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China)
出处
《许昌学院学报》
CAS
2020年第2期1-4,共4页
Journal of Xuchang University
基金
2019年度许昌学院科研基金资助项目(2019YB032)。