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增强型延迟反馈法控制低维混沌系统的解析研究
Analytic study of controlling chaotic system by enhancing time-delayed feedback
【摘要】 基于时间延迟反馈控制混沌系统的方法 ,提出一种增强型控制方案 ,并利用分析延迟系统产生Hopf分支条件的方法 ,给出这种方案控制低维连续自治混沌系统时 ,在达到控制目标的条件下 ,控制参数的一般解析关系 .将这一方案和分析方法应用到两个混沌模型中 ,结果表明 :采用修正的方案可以明显地改善控制混沌的效果和质量 ;解析分析的结果与实际数值计算的结果一致 .
【Abstract】 We have proposed a project on controlling chaotic systems by the time delayed feedback.Via the analysis of emerging Hopf bifurcation of the system, analytic conditions for the low dimensional continuous autonomous chaotic system controlled by this project was given theoretically. Applying the conclusions we obtain for practical systems, it is shown, by theoretical description and numerical calculation, that the effectiveness and quality of control can be improved obviously and the analytic results are in accord with the numerical results.
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2002年07期
- 【分类号】O415.5
- 【被引频次】25
- 【下载频次】110