期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 93, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2020.105501
关键词
Asymmetric feedback; Dynamical robustness; Damaged systems; Fractional oscillators
类别
资金
- National Natural Science Foundation of China [11772254, 11972288]
The use of asymmetric feedback enhances the rhythmicity of coupled systems, while reducing asymmetric feedback helps to improve dynamical robustness. Strong coupling benefits dynamic activity, whereas normal diffusive interactions may compromise dynamical robustness.
Collective oscillatory behavior plays a key role in proper functioning of various coupled systems in the real world. However, a variety of damages or deterioration may come up inevitably in coupled systems that can affect macroscopic activity of the entire system. Therefore, we need to provide some remedies to against such aging. To do this, a coupled fractional oscillators model composed of active and inactive oscillators is adopted to demonstrate this scenario. We introduce an asymmetric feedback into damaged fractional system to enhance its rhythmicity. Our results suggest that the critical ratio of inactive oscillators depends on the asymmetric feedback monotonously. Accordingly, one can enhance dynamical robustness via reducing the asymmetric feedback. It is found that strong coupling is in favor of the dynamical activity of coupled system with asymmetric coupling, which is in contrast to the normal diffusive interaction that shows the tendency to spoil the dynamical robustness. An astonishing phenomenon has been found that coupled fractional oscillators system possesses the oscillation even all the oscillators turn to inactive when asymmetric feedback less than a critical value associated with fractional derivative. Moreover, we investigate the effects of asymmetric feedback on the delay-coupled fractional oscillators system and show that the reduction in asymmetric feedback can enhance dynamical robustness as well. Remarkably, the critical ratio at which aging transition occurs depends unmonotonously on the time delay, which implies that the delay-coupled fractional systems possess the weakest dynamical robustness at a certain level of time delay in the presence of asymmetric feedback. (C) 2020 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据