摘要
通过分析时滞带限反馈系统对应的超越特征方程根的分布，给出了系统平衡点稳定的充分条件，讨论了Hopf分支和Hopf-zero分支的存在性．应用规范型方法和中心流形理论讨论了Hopf分支的性质．最后，应用Matlab软件进行了模拟．
By analyzing the corresponding transcendental characteristic equation of the band- limited feedback system, we obtain the sufficient conditions to ensure the equilibrium stable and discuss the existence of Hopf bifurcation and Hopf-zero bifurcation. The properties of Hopf bifurcation are derived by using the normal form method and the center manifold theorem. Finally, some numerical simulations are carried out by Matlab for supporting the analytic results.
作者
张二丽
邢玉清
杨纪华
ZHANG Er-li;XING Yu-qing;YANG Ji-hua(School of Information Engineering,Zhengzhou Institute of Finance and Economics,Zhengzhou 450044 China;Couege of Science,Henan Agricultural University,Zhengzhou 450002,China;School of Mathematics and Computer Science,Ningxia Normal University,Guyuan 756000 China)
出处
《数学的实践与认识》
北大核心
2018年第19期220-227,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11701306)
河南省高等学校重点科研项目(178110003,17A520036)
河南省高等学校青年骨干教师培养计划项目(2016GGJS-190)
