Spectral Stability of Multilayer Networks: The Sigmazeta Protocol

Key Points

• The research aims to examine the stability of dynamical systems on multilayer networks using a new protocol.
• Utilized a supra-Laplacian operator to represent connectivity within multilayer networks.
• Derived a spectral stability criterion to ensure disturbance decay over time.
• Analyzed convergence time in relation to network size.
• Established a criterion for exponential decay of disturbances in multilayer networks.
• Showed that convergence time increases logarithmically with network size.
• Provided a stability certificate for large interdependent systems.