期刊信息
- 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
Delayed Feedback Control the Chaos of the Autonomy System
摘要/Abstract
利用非线性动力学理论,讨论了带有一个三维自治系统的混沌特性.利用数值方法得到系统在参数取不同值时的混沌吸引子和周期态.在区间α∈ [0.05,0.3]上,利用全局分岔图和庞加莱截面图准确地表征了系统在此区间内的丰富的非线性行为.通过局部放大的全局分岔图发现,系统发生了倍周期分岔和倒倍周期分岔现象.最后,应用延迟反馈法对系统的混沌运动进行了控制,结果表明,通过此控制法可将系统的混沌运动控制到稳定的周期运动状态.
The chaotic characteristic of the autonomy system is studied with nonlinear dynamics theory.The chaotic at tractor and periods are got by means of numerical simulation with different parameter values.When the abundance dynamic behavior is presented by the global bifurcation graph and Poincar?section.The phenomena of the doubling-periodic bifurcation and doubling-periodic converse bifurcation are found when the local of the global bifurcation graph is mag nified.The system is controlled by the delayed feedback.The result indicated that the chaotic motions of the system can be successfully converted to the stable periodic orbits af ter the method is used to control chaos when the delayed force is added to the first equation or second equation.