...
首页> 外文期刊>Physical review, E >Revival and death of oscillation under mean-field coupling: Interplay of intrinsic and extrinsic filtering
【24h】

Revival and death of oscillation under mean-field coupling: Interplay of intrinsic and extrinsic filtering

机译:平均场耦合下振荡的复兴与死亡:内在和外在过滤的相互作用

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       

摘要

Mean-field diffusive coupling was known to induce the phenomenon of quenching of oscillations even in identical systems, where the standard diffusive coupling (without mean-field) fails to do so [Phys. Rev. E 89, 052912 (2014)]. In particular, the mean-field diffusive coupling facilitates the transition from amplitude to oscillation death states and the onset of a nontrivial amplitude death state via a subcritical pitchfork bifurcation. In this paper, we show that an adaptive coupling using a low-pass filter in both the intrinsic and extrinsic variables in the coupling is capable of inducing the counterintuitive phenomenon of reviving of oscillations from the death states induced by the mean-field coupling. In particular, even a weak filtering of the extrinsic (intrinsic) variable in the mean-field coupling facilitates the onset of revival (quenching) of oscillations, whereas a strong filtering of the extrinsic (intrinsic) variable results in quenching (revival) of oscillations. Our results reveal that the degree of filtering plays a predominant role in determining the effect of filtering in the extrinsic or intrinsic variables, thereby engineering the dynamics as desired. We also extend the analysis to networks of mean-field coupled limit-cycle and chaotic oscillators along with the low-pass filters to illustrate the generic nature of our results. Finally, we demonstrate the observed dynamical transition experimentally to elucidate the robustness of our results despite the presence of inherent parameter fluctuations and noise.
机译:已知平均场扩散耦合是诱导即使在相同的系统中振荡的淬火现象,其中标准扩散耦合(没有平均场)未能这样做[物理。 Rev.E 89,052912(2014)]。特别地,平均场的漫射耦合有利于通过亚临界地板叉分叉从振幅与振荡死亡状态的转变和非活动幅度死亡状态的发生。在本文中,我们表明,在耦合中的内在和外在变量中使用低通滤波器的自适应耦合能够诱导由平均场耦合引起的死亡状态振荡振荡的逆行现象。特别地,即使在平均场耦合中的外在(内在)变量的弱滤波甚至有利于振荡的复发(淬火)的开始,而外在(内在)可变的强烈过滤导致振动的淬火(复兴) 。我们的结果表明,过滤程度在确定滤波在外部或内在变量中的效果方面起着主要作用,从而根据需要工程动态。我们还将分析扩展到平均场耦合限位周期和混沌振荡器网络以及低通滤波器,以说明我们的结果的通用性质。最后,我们虽然存在固有的参数波动和噪声,但我们展示了观察到的动态转变以阐明我们的结果的稳健性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号