Low pass filtering mechanism enhancing dynamical robustness in coupled oscillatory networks

Abstract

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 e ect (degradation of dynamical activity). This dynamical deterioration a ects 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 e cient mechanism, called the low pass ltering 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 su cient 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 e ective to recover the dynamic features of a damaged network. The e ectiveness of this technique has been testi ed in globally coupled and Erdős Rényi random networks of Stuart–Landau oscillators.