Low pass filtering mechanism enhancing dynamical robustness in coupled oscillatory networks

• Published in: Chaos (Woodbury, N.Y.) Vol. 29; no. 4; p. 041104
• Main Author: Bera, Bidesh K
• Format: Journal Article
• Language: English
• Published: United States 01.04.2019
• ISSN: 1089-7682
• DOI: 10.1063/1.5093496

A network that consists of a set of active and inactive nodes is called a damaged network and this type of network shows an aging effect (degradation of dynamical activity). This dynamical deterioration affects the normal functioning of the network and also its performance. Therefore, it is necessary to design a proper mechanism to avoid undesired dynamical activity like degradation. In this work, an efficient mechanism, called the low pass filtering technique, is proposed to enhance the dynamical activity of damaged networks of coupled oscillators. Using this mechanism, the dynamic behavior of the damaged network of coupled active and inactive dynamical units is improved and the network survivability is ensured. Because a minor deviation of the controlling parameter is sufficient to restore the oscillatory behavior when the entire network undergoes an aging transition. Even when the whole network degrades due to the deterioration of each node, the larger values of the interaction strength and the controlling parameter play a key role in favor of the revival of dynamic activity in the entire network. Our proposed mechanism is very simple and effective to recover the dynamic features of a damaged network. The effectiveness of this technique has been testified in globally coupled and Erdős Rényi random networks of Stuart-Landau oscillators.