单时滞类Lorenz系统的Hopf分岔分析  

HOPF BIFURCATION ANALYSIS OF THE LORENZ-LIKE SYSTEM WITH THE SINGLE TIME-DELAY

作　　者：李德奎[1] 连玉平[1] 

机构地区：[1]定西师范高等专科学校数学系,甘肃定西743000

出　　处：《数学杂志》2015年第3期635-642,共8页Journal of Mathematics

基　　金：教育部科技研究重点项目资助(212180);甘肃省国际科技合作计划项目资助(1104WCGA195);2013年定西师范高等专科学校青年项目资助(1329)

摘　　要：本文研究单时滞类Lorenz系统的稳定性问题.利用规范型理论,分析该系统在其零平衡点处的稳定性和发生Hopf分岔的条件,并通过数值仿真验证所得结论的正确性.本文的结论可以看做是对文献[5]研究成果的推广.The stability problem of the Lorenz-like system with the single time-delay is studied in this paper. We analyze the stability and Hopf bifurcation condition of the system at its zero balance by using the theory of the canonical form, and the correctness of the obtained conclusion is verified by numerical simulation, which extends the research achievements in literature [5].

关 键 词：单时滞 类LORENZ系统 稳定性 HOPF分岔 

分 类 号：O175[理学—数学]