物理学报2011，Vol.60Issue(1)：76-83,8.
一个三时滞生物捕食被捕食系统分岔的混合控制
Hybrid control of bifurcation in a predator-prey system with three delays
摘要
Abstract
The problem of Hopf bifurcation control for a predator - prey system with three delays is considered. A new hybrid strategy is proposed to control the Hopf bifurcation, in which the state feedback and parameter perturbation are used to delay the onset of an inherent bifurcation or make the bifurcation disappear. The stability and the existence of bifurcation are researched. In particular, the formulae determining the direction of the bifurcations and the stability of the bifurcating periodic solutions are derived by using the normal form theory and center manifold theorem. Finally, numerical simulation results confirm that the new hybrid controller is efficient in controlling Hopf bifurcation.关键词
时滞/捕食被捕食系统/Hopf分岔/混合控制Key words
delay/ predator-prey system/ Hopf bifurcation/ hybrid control引用本文复制引用
张丽萍,王惠南,徐敏..一个三时滞生物捕食被捕食系统分岔的混合控制[J].物理学报,2011,60(1):76-83,8.基金项目
南京航空航天大学基本科研业务费专项科研项目(批准号:NS2010112)资助的课题. （批准号:NS2010112）
