损伤耦合振子网络动力学的恢复
Resumption of dynamism in damaged networks of coupled oscillators
摘要：
动力活动的恶化可能是自然发生的，也可能是由于大部分生物和物理系统的环境影响。这种动态降级可能对实质性网络性能具有直接影响。这迫使提供一些适当的处方来克服不期望的情况。通过这篇文章，我们提出了一个基于外部反馈的方案，可以有效地恢复活跃和不活跃的振荡器损坏的网络的动力，从而提高网络的生存性。为了验证我们的说法，进行数值和分析调查。我们还提供了一个比较研究的有效性，这种机制的反馈到不活跃的群体或活跃的群体。最重要的是，复活的动态活动实现，即使在时间延迟损坏的网络，这被认为是不太持久的对恶化的形式不活动的振荡器。此外，突出在我们的方法是通过提供证据增强网络持久性在复杂的网络拓扑结构，小世界和无标度架构，这使得所提出的补救措施相当普遍。除了在Stuart-Landau振子网络中的研究外，外反馈对混沌Rossler系统网络的影响也得到了证实。
英文摘要：
Deterioration in the dynamical activities may come up naturally or due to environmental influences in a massive portion of biological and physical systems. Such dynamical degradation may have outright effect on the substantive network performance. This enforces to provide some proper prescriptions to overcome undesired circumstances. Through this article, we present a scheme based on external feedback that can efficiently revive dynamism in damaged networks of active and inactive oscillators and thus enhance the network survivability. Both numerical and analytical investigations are performed in order to verify our claim. We also provide a comparative study on the effectiveness of this mechanism for feedbacks to the inactive group or to the active group only. Most importantly, resurrection of dynamical activity is realized even in time-delayed damaged networks, which are considered to be less persistent against deterioration in form of inactivity in the oscillators. Furthermore, prominence in our approach is substantiated by providing evidence of enhanced network persistence in complex network topologies taking small-world and scale-free architectures, which makes the proposed remedy quite general. Besides the study in network of Stuart-Landau oscillators, affirmative influence of external feedback has been justified in network of chaotic Rossler systems as well.
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