Bonhoeffer-van der Pol方程的混沌控制

基于延时反馈混沌控制方法和相空间压缩法，提出了一种改进的延时控制方法，即：将空间压缩作为系统状态变量的一种约束施加到延时反馈混沌控制中．以Bonhoeffer-van der Pol系统为例，数值验证了此改进方法的有效性．结果表明：对于具有单个吸引子的混沌系统，此方法可以将混沌系统很快控制到一个期望的周期轨道上，与原始的延时反馈方法相比减少了恢复时间．对于具有多个混沌吸引子的系统，通过增加适当的相空间限制器，可以快捷地将系统稳定在嵌入于不同混沌吸引子中的期望周期轨道上．

Control of chaotic bonhoeffer-van der pol equation

According to the delayed feedback control method and the phase space compression method, an improved delayed feedback scheme was proposed, which took phase space compression as restriction on state variables in the delayed feedback control. The method was testified in Bonhoeffer-van der Pol system. The results indicated that the chaotic system with only one chaotic attractor can be controlled into a desired periodic orbit immediately. Compared with the Pyragas's method, the improved method reduced the recovery time. For a system with double attractors, it can be stabilized simply into a desired periodic orbit embeded in different attractor by using the appropriate phase space limiter.