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一类具有时滞的Lotka-Volterra系统的Hopf分支与混沌控制 被引量：4

Hopf Bifurcation and Chaos Control of a Lotka-Volterra System with Delay
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摘要 文章研究了一类具有时滞的Lotka.Volterra系统,得到了正平衡点附近产生Hopf分支的条件及其分支方向、稳定性与周期的判定公式.当时滞充分大时,系统会出现混沌现象.利用Hopf分支理论与时滞反馈控制方法,对混沌进行了控制.并在最后给出数值模拟. In this paper, a Lotka - Volterra system with time delay is studied by using the theory of functional equation and Hopf bifurcation, the condition on which positive equilibrium exists and the quality of Hopf bifurcation are given. Finally, we give several numerical simulations, which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.
作者 徐雪娇 林怡平
机构地区 昆明理工大学理学院应用数学系
出处 《云南师范大学学报（自然科学版）》 2010年第4期28-33,共6页 Journal of Yunnan Normal University:Natural Sciences Edition
关键词 LOTKA-VOLTERRA系统 HOPF分支 混沌 混沌控制 Lotka - Volterra system Hopf bifurcation chaos chaos control.
分类号 O175.1 [理学—基础数学]
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参考文献12

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  • 1LI H J, JAMES H, JAKUBIAK C. H2 active disturbance rejection control for offshore platform subjected to wave loading [J]. Journal of Sound and Disturbance rejection, 2003, 263 (4) : 709 -724.
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引证文献4

二级引证文献6

云南师范大学学报（自然科学版）
2010年 第4期

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