Liu Fang, Yu Dongchuan, Liu Jun
College of Automation Engineering, Qingdao University, Qingdao, Shandong 266071, China.
Chaos. 2008 Sep;18(3):033103. doi: 10.1063/1.2949930.
We suggest a promising engineering approach to structural perturbation that in principle generates arbitrary additional connections artificially. We show that this structural perturbation method can be applied to stabilize spiral waves noninvasively. Furthermore, the stabilization performance is improved dramatically using proper delay for each additional connection to be created. This structural perturbation method with proper parameters can also be considered as a noninvasive adaptive pinning control that obtains better control performance than the typical constant pinning control. Remarkably, we numerically illustrate that a few additional connections (i.e., small structural perturbation) may result in stabilization of spiral waves. All methods suggested are motivated and illustrated with a FitzHugh-Nagumo model.
我们提出了一种有前景的结构微扰工程方法,原则上可以人为地生成任意额外连接。我们表明,这种结构微扰方法可用于无创地稳定螺旋波。此外,通过为每个要创建的额外连接使用适当的延迟,稳定性能可得到显著提高。这种具有适当参数的结构微扰方法也可被视为一种无创自适应钉扎控制,其控制性能优于典型的恒定钉扎控制。值得注意的是,我们通过数值模拟表明,少量额外连接(即小的结构微扰)可能会导致螺旋波的稳定。所有提出的方法均以FitzHugh-Nagumo模型为例进行了说明。