摘要
讨论了一个带参数的三维混沌系统平衡点的稳定性和Hopf分叉性质,利用中心流形理论对系统进行了有效的降维处理,并用形式级数判别法探讨了系统在平衡点附近出现Hopf分叉的参数条件.
The stability of equilibrium points and Hopf bifurcation of a three dimensional chaotic system with parameters are studied. Using the center manifold theory, it is proved that the dimension of the system is decreased effectively. The parameter condition of Hopf bifurcation in the neighborhood of equilibrium points is studied in the system by using the method of formal series.
出处
《云南民族大学学报（自然科学版）》
CAS
2009年第4期352-357,共6页
Journal of Yunnan Minzu University:Natural Sciences Edition
基金
云南省教育厅科学研究基金项目(07C41681)
关键词
平衡点
HOPF分叉
中心流形
形式级数法
equilibrium point
Hopf bifurcation
center manifold
method of formal series
