Low pass filtering mechanism enhancing dynamical robustness in coupled oscillatory networks

Area of Science:

• Complex Networks
• Dynamical Systems
• Nonlinear Dynamics

Background:

• Networks exhibit aging effects, leading to degraded dynamical activity and impaired function.
• Dynamical deterioration in networks necessitates mechanisms to prevent performance decline.

Purpose of the Study:

• To propose an efficient mechanism, the low-pass filtering technique, for enhancing dynamical activity in damaged networks of coupled oscillators.
• To improve the dynamic behavior and ensure the survivability of networks experiencing aging effects.

Main Methods:

• Implementation of a low-pass filtering technique to counteract dynamical deterioration.
• Analysis of network behavior under varying interaction strengths and controlling parameters.

Main Results:

• The low-pass filtering technique effectively restores oscillatory behavior in damaged networks.
• Larger interaction strengths and controlling parameters are crucial for reviving dynamic activity, even with node deterioration.
• The mechanism proved effective in globally coupled and Erdős Rényi random networks of Stuart-Landau oscillators.

Conclusions:

• The proposed low-pass filtering technique is a simple yet effective method for recovering dynamic features in damaged networks.
• Network survivability can be ensured by mitigating aging-induced dynamical degradation.