Time-varying multiplex network: Intralayer and interlayer synchronization.

Area of Science:

• Complex systems science
• Network science
• Physics

Background:

• Multiplex networks, comprising multiple interacting layers, model diverse systems like transportation and neuronal networks.
• Understanding synchronization dynamics in these complex, time-varying structures is crucial for their analysis and application.

Purpose of the Study:

• To investigate intralayer and interlayer synchronization in multiplex networks with stochastically switching intralayer coupling.
• To analyze the impact of switching frequency and coupling strength on synchronization and network resilience.

Main Methods:

• Utilized the master stability function approach for analytical derivation of synchronization conditions.
• Employed numerical simulations to validate analytical findings and explore system behavior.
• Applied basin stability measures to quantify the resilience of synchronous states.

Main Results:

• Analytical predictions for synchronization conditions showed excellent agreement with numerical results.
• Increased frequency of intralayer link switching significantly enhanced both intralayer and interlayer synchrony.
• Intralayer coupling strength was identified as the most critical factor for achieving synchrony.

Conclusions:

• The study provides a robust framework for understanding synchronization in dynamic multiplex networks.
• Rapid switching dynamics can lead to persistent interlayer synchronization, even under significant network disruption.
• Findings offer insights into designing resilient and synchronized complex systems.