论文标题
通过自我反馈延迟，在平均场耦合网络中增强动态鲁棒性
Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay
论文作者
论文摘要
在本文中，我们提出了一种非常有效的技术，以增强均经历衰老过渡的平均场耦合振荡器网络的动力鲁棒性。特别是，我们提出了一种基于延迟的负自反馈的控制机制，该机制可以有效地增强在主动振荡器和不活跃振荡器的平均场耦合网络中的动态活动。即使是为了延迟的较小价值，鲁棒性也会增强到显着的水平。在我们提出的方案中，增强效果对于强耦合更为明显。令我们惊讶的是，即使所有振荡器都扰动了平衡模式，延迟了负面反馈，能够在网络中恢复振荡活动，从而获得强耦合强度。我们证明我们提出的机制独立于耦合拓扑。对于全球耦合网络，我们提供数值和分析性处理以验证我们的主张。同样，为了使全球耦合建立我们计划的一般性，我们验证了Stuart-Landau极限周期振荡器和混乱的Rossler振荡器的结果。为了证明我们的方案独立于网络拓扑，我们还为局部均值场耦合复杂网络提供了数值结果。
In this article, we propose a very efficient technique to enhance the dynamical robustness for a network of mean-field coupled oscillators experiencing aging transition. In particular, we present a control mechanism based on delayed negative self-feedback, which can effectively enhance dynamical activities in a mean-field coupled network of active and inactive oscillators. Even for a small value of delay, robustness gets enhanced to a significant level. In our proposed scheme, the enhancing effect is more pronounced for strong coupling. To our surprise even if all the oscillators perturbed to equilibrium mode delayed negative self-feedback able to restore oscillatory activities in the network for strong coupling strength. We demonstrate that our proposed mechanism is independent of coupling topology. For a globally coupled network, we provide numerical and analytical treatment to verify our claim. Also, for global coupling to establish the generality of our scheme, we validate our results for both Stuart-Landau limit cycle oscillators and chaotic Rossler oscillators. To show that our scheme is independent of network topology, we also provide numerical results for the local mean-field coupled complex network.
