论文标题
延迟系统中的混沌扩散：按时间滞后调制的巨型增强
Chaotic Diffusion in Delay Systems: Giant Enhancement by Time Lag Modulation
论文作者
论文摘要
我们考虑了具有延迟非线性的典型系统，我们表明这表现出混乱的扩散。证明时间延迟的周期性调制可以通过几个数量级导致扩散常数的增强。如果由调制的圆形图显示模式锁定，并且更具体地满足层状混乱的条件，则此效果是最大的。因此，我们首次建立参数空间中的Arnold舌结构与延迟系统的扩散特性之间的联系。违反直觉，扩散的增强伴随着系统的有效维度的强烈降低。
We consider a typical class of systems with delayed nonlinearity, which we show to exhibit chaotic diffusion. It is demonstrated that a periodic modulation of the time-lag can lead to an enhancement of the diffusion constant by several orders of magnitude. This effect is the largest if the circle map defined by the modulation shows mode locking and more specifically, fulfills the conditions for laminar chaos. Thus we establish for the first time a connection between Arnold tongue structures in parameter space and diffusive properties of a delay system. Counterintuitively, the enhancement of diffusion is accompanied by a strong reduction of the effective dimensionality of the system.
