离散时滞Mackey-Glass系统的稳定性与分岔  

The Stability and Bifurcation of Discrete Delay Mackey-Glass System

作　　者：侯爱玉[1] 彭震春[1] 

机构地区：[1]湖南工业大学理学院

出　　处：《湖南工业大学学报》2010年第5期23-26,63,共5页Journal of Hunan University of Technology

摘　　要：利用中心流形定理和正规型理论讨论了离散时滞Mackey-Glass系统的动力学性质,分析了其正平衡点的稳定性,并讨论了当参数经过一系列临界值时Neimark-Sacker分岔的稳定性与方向。通过数值模拟验证了所得结果的正确性。A discrete delay Mackey-Glass system is considered via center manifold theorem and norm form theoryt,he local stability of positive equilibrium is analyzed,and the stability and direction of Neimark-Sacker bifurcation of the system is also discussed.Finally,numerical simulations is provided to verify the analytical results.

关 键 词：离散时滞Mackey-Glass系统 稳定性 NEIMARK-SACKER分岔 

分 类 号：O151[理学—数学]