西北师范大学学报（自然科学版）Issue(3)：7-13,7.
双时滞 Mackey-Glass 系统的稳定性和 Hopf 分支
Stability and Hopf bifurcation of M ackey-Glass system w ith tw o time delays
摘要
Abstract
The stability and Hopf bifurcation of Mackey‐Glass system with two time delays are studied . The linear stabilities with one delay and two delays are investigated , respectively . It is found that Hopf bifurcations exist w hen the delays pass through a sequence of critical values , furthermore , the system appears chaotic attractors with large time delays . Then , using the center manifold theorem and the normal form method , the direction and stability of the Hopf bifurcation are determined . In the end , some numerical simulations are carried out for supporting the analytic results .关键词
Mackey-Glass系统/双时滞/稳定性/Hopf分支/混沌吸引子Key words
Mackey-Glass system/two time delays/stability/Hopf bifurcation/chaos attractor分类
数理科学引用本文复制引用
杨纪华,马旭,张二丽,李艳秋..双时滞 Mackey-Glass 系统的稳定性和 Hopf 分支[J].西北师范大学学报（自然科学版）,2015,(3):7-13,7.基金项目
国家自然科学基金资助项目（11361046，11301263）；宁夏回族自治区自然科学基金资助项目（NZ13213）；宁夏师范学院创新团队资助项目 （）
