Stability and Bifurcation Analysis in a Mackey-Glass System

摘要：

In this paper, the dynamics of a Mackey-Glass equation with delay are investigated. We prove that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. Explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived, using the theory of normal form and center manifold. The global existence of multiple periodic solutions is established using a global Hopf bifurcation result given by Wu and Bendixson criterion for given by Li and.

作者: Zhichao Jiang Xiaohua Bi

作者单位: Fundamental Science Department North China Institute of Astronautic Engineering Langfang, China

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 97-101

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）