Effects of aging on synchronization and chaos in coupled oscillators

本研究旨在阐明大量耦合振荡器如何改变其行为（特别是同步和混沌），因为它的一些元素以某种方式变得不活跃（非自振荡），这个过程在这里被称为“老化”。这个问题很重要，例如，在评估基于耦合振荡器和各种生物节律（如生物钟）的发生器的机器的鲁棒性，以防止缺陷或恶化。这项研究表明，使用耦合振荡器的数学模型，这样的系统可以根据参数及其耦合结构表现出各种各样的行为。

The present study aims at elucidating how large populations of coupled oscillators change their behaviors (in particular, synchronization and chaos), as some of its elements somehow turn inactive (non self-oscillatory), which process is here referred to as "aging". This problem is important, e.g. in assessing the robustness of machines based on coupled oscillators and generators of diverse biological rhythms such as body clocks against defects or deterioration. This study has shown using mathematical models of coupled oscillators that such a system can exhibit a wide variety of behaviors depending on parameters and its coupling architecture.