Rhythmic behavior represents one of the most striking and ubiquitous manifestations of functional evolution for a wide class of natural and man-made systems. The emergence of diverse (ar)rhythmic dynamics can be well understood by models of coupled dynamical networks, where the interplay between the intrinsic dynamics of a single unit and the coupling functions plays a critical role in shaping a vast repertoire of collective behaviors. Under certain circumstances, all the individual dynamical systems may cease their oscillations totally when coupled, which results in the emergence of oscillation quenching in coupled oscillatory systems. Macroscopic oscillations of coupled dynamical networks can also be gradually weakened and even completely quenched via aging transition. Oscillation reviving, an inverse process of quenching and aging, refers to the restoration of rhythmic activity of coupled dynamical networks from the phenomena of quenching and aging. The study on quenching, aging, and reviving of rhythmic behaviors in coupled dynamical networks has developed into an active and rapidly evolving area of research with a wide variety of applications, where tremendous progresses with vital insights have been witnessed in the last decade. In this review, we endeavour to provide an exhaustive overview on the most important aspects of quenching, aging, and reviving in coupled dynamical networks ranging from theories to experiments and applications. The prevailing knowledge is integrated and pulled together to make the relevant results and methods more generally accessible for researchers in distinct communities of science and technology. Relevant open issues and challenges that deserve of special attentions are highlighted for future study. The present review should stimulate deeper investigations on the collapse and revival of macroscopic rhythmic behaviors, which will enlighten our understanding on evading irreversible failures of coupled dynamical networks and even guide us to identify the precursors of critical transitions. Our work will foster further studies on the physical principles of collective rhythms that robustly emerge in nature and real life.

有节奏的行为代表了各种自然和人造系统的功能进化的最引人注目和最普遍的表现之一。耦合动力学网络模型可以很好地理解多样化（ar）节奏动力学的出现，其中单个单元的内在动力学与耦合函数之间的相互作用在塑造大量集体行为方面起着至关重要的作用。在某些情况下，所有单独的动力系统在耦合时可能完全停止振荡，从而导致耦合振荡系统出现振荡淬灭。耦合动力学网络的宏观振荡也可以通过老化转变逐渐减弱甚至完全淬灭。振荡恢复，淬火和时效的逆过程，指从淬火和老化现象中恢复耦合动力网络的节律活动。关于耦合动力网络中节律行为的淬火、老化和恢复的研究已经发展成为一个活跃且快速发展的研究领域，具有广泛的应用，在过去十年中见证了具有重要见解的巨大进步。在这篇综述中，我们努力对从理论到实验和应用的耦合动力学网络中淬火、老化和恢复的最重要方面进行详尽的概述。将流行的知识整合在一起，使不同科学和技术社区的研究人员更容易获得相关结果和方法。值得特别关注的相关未决问题和挑战被突出显示以供未来研究。本综述应该激发对宏观节律行为的崩溃和复兴的更深入研究，这将启发我们对避免耦合动力网络不可逆故障的理解，甚至指导我们识别关键转变的前兆。我们的工作将促进对自然和现实生活中强烈出现的集体节奏的物理原理的进一步研究。这将启发我们对避免耦合动力网络的不可逆故障的理解，甚至指导我们识别关键转变的先兆。我们的工作将促进对自然和现实生活中强烈出现的集体节奏的物理原理的进一步研究。这将启发我们对避免耦合动力网络的不可逆故障的理解，甚至指导我们识别关键转变的先兆。我们的工作将促进对自然和现实生活中强烈出现的集体节奏的物理原理的进一步研究。