Department of Mathematics, University of Alberta, AB T6G 2R3, Edmonton, Canada.
Sci Rep. 2021 Apr 22;11(1):8703. doi: 10.1038/s41598-021-87233-8.
Despite the ubiquity of physical systems evolving on time-dependent spatial domains, understanding their regular and chaotic dynamics is still in a rudimentary state. While chaos implies that the system's behavior can be altered by small perturbations, this sensitivity proves to be useful for control purposes. Here we report on the experimental discovery of a novel mechanism to control chaos by time-variation of the system (spatial domain) size: depending upon the rate of the latter, the chaotic state may be completely prevented. Our experimental observations are disentangled with theoretical insights and numerical modeling, which also reveals the ability to control spatio-temporal chaos, thus making the findings relevant to a wide range of natural phenomena.
尽管依赖于时变空间域的物理系统无处不在,但对其规则和混沌动力学的理解仍处于初级阶段。虽然混沌意味着系统的行为可以通过小的扰动来改变,但这种敏感性对于控制目的来说是有用的。在这里,我们报告了一种通过时变系统(空间域)大小来控制混沌的新机制的实验发现:根据后者的速率,混沌状态可能会完全被阻止。我们的实验观察结果与理论见解和数值建模相分离,这也揭示了控制时空混沌的能力,从而使这些发现与广泛的自然现象相关。