期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
An Analysis of Hopf Bifurcation for an Autonomous Chaotic System
摘要/Abstract
摘要:
理论分析了一个自治混沌系统的平衡点的稳定性,并对该系统平衡点进行了Hopf分岔分析,得出Hopf分岔的参数条件.通过计算系统在平衡点的第一Lyapunov系数判断了分叉的方向及其稳定性.最后,通过数值模拟验证了理论推导的正确性.
Abstract:
An autonomous chaotic system is studied in detail.The local stability of equilibrium is ana-lyzed and the existence of Hopf bifurcation is established.Furthermore,formulas for determining the direc-tion of the Hopf bifurcation and the stability of bifurcating periodic solutions are derived.Finally,a numeri-cal example is given.
关键词
关键词:
混沌系统
;
平衡点
;
第一Lyapunov系数
;
Hopf分岔
Key words:
chaotic system
;
equilibrium points
;
the first Lyapunov coefficients
;
Hopf bifurcation