摘要
利用Lyapunov函数方法,对混沌反控制问题进行了研究.以单模激光Lorenz系统和描述心脏搏动的Bonhoeffer-Van der Pol系统为例,设计了一种控制器,成功地使Bonhoeffer-Van der Pol系统混沌化.给出了控制器的具体设计方案以及单模激光Lorenz系统与Bonhoeffer-Van der Pol系统状态之间误差系统的结构.仿真结果表明,在控制器的作用下,Bonhoeffer-Van der Pol系统所有状态变量严格地跟踪了单模激光Lorenz系统的混沌轨迹,对应的相空间中Bonhoeffer-Vander Pol系统的轨迹也由极限环转变为与单模激光Lorenz系统的轨迹完全相同的混沌吸引子,Bonhoeffer-Van der Pol系统严格地跟踪了单模激光Lorenz系统混沌的动态行为.
The method of Lyapunov function is used to study the chaotic anti-control. Taking the single mode laser Lorenz system and the Bonhoeffer-Van der Pol （BVP） system as an example, a controller is designed to chaotify the BVP system with the Lorenz system. The design project of controller is given,and the structure of error system is constructed between the state of the BVP system and that of the Lorenz system. The artificial simulation results show that all the state variables of the BVP system can follow those of the Lorenz system,the orbit of the BVP system is exactly the same as that of the Lorenz system. The BVP system is made to track strictly the dynamical behavior of the Lorenz system.
出处
《光子学报》
EI
CAS
CSCD
北大核心
2007年第10期1833-1836,共4页
Acta Photonica Sinica
基金
辽宁省自然科学基金(20052151)资助
