摘要
对于广义的Lorenz系统,通过共振性的研究得到了解析首次积分和广义有理首次积分的存在性。由高维系统的Bendixon判据研究了系统的闭轨存在性问题。根据Lyapunov函数的方法得到了系统奇点的全局稳定性,最后给出了数值模拟的例子。
In this paper, a generic Lorenz system is considered. By virtue of the resonances, both the existences of analytic and generalized rational first integrals are investigated. Moreover, we research the existence of closed orbits based on Bendixon’s criterion. Furthermore, by employing the techniques of Lyapunov function, the global stability of equilibria is analyzed, which is illustrated by numerical simulations.
作者
何志蓉
黄德青
李雪芳
唐异垒
HE Zhirong;HUANG Deqing;LI Xuefang;TANG Yilei(College of Mathematics, Sichuan University, Chengdu 610064, China;School of Electrical Engineering,Southwest Jiaotong University, Chengdu 610031, China;School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China)
出处
《中国科技论文》
CAS
北大核心
2018年第17期1949-1954,共6页
China Sciencepaper
基金
高等学校博士学科点专项科研基金资助项目(20130073110074)
