Hybrid control of Hopf bifurcation in a two prey one predator system with time delay

摘要：

　　This paper is concerned with Hopf bifurcation analysis for a two prey one predator system with time delay.The state feedback and parameter perturbation are used to delay the onset of Hopf bifurcation or make the bifurcation disappear.The sufficient conditions for the local stability and existence of local Hopf bifurcation of the system are obtained.In particular,special attention is paid to the direction of Hopf bifurcation and the stability of the bifurcated periodic solutions.Finally,some numerical simulations are presented to show that the hybrid controller is efficient in controlling Hopf bifurcation.

关键词： Hopf bifurcation control Stability Time delay Periodic solutions

作者: Zizhen Zhang Huizhong Yang

作者单位: Key Laboratory of Advanced Process Control for Light Industry(Ministry of Education),Jiangnan Univer Key Laboratory of Advanced Process Control for Light Industry(Ministry of Education),Jiangnan Univer

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 6895-6900

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）