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Microfluidic Platform with Multiplexed Electronic Detection for Spatial Tracking of Particles

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Inter-layer synchronization in multiplex networks of identical layers.

R Sevilla-Escoboza¹, I Sendiña-Nadal², I Leyva²

¹Centro Universitario de los Lagos, Universidad de Guadalajara, Jalisco 47460, Mexico.

Chaos (Woodbury, N.Y.)

|July 3, 2016

Summary

This study reveals conditions for inter-layer synchronization in multiplex networks, where nodes sync across layers. Findings are validated numerically and experimentally, showing robustness against network de-multiplexing.

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Area of Science:

Complex systems
Network science
Nonlinear dynamics

Background:

Multiplex networks feature interconnected layers.
Inter-layer synchronization synchronizes nodes across layers, distinct from intra-layer synchronization.

Purpose of the Study:

To analytically derive conditions for inter-layer synchronization in multiplex networks.
To verify these conditions numerically and experimentally.
To assess the robustness of inter-layer synchronization.

Main Methods:

Analytical derivation of conditions for synchronization existence and stability.
Numerical simulations to verify analytical predictions.
Experimental validation using nonlinear electronic circuit multiplexes.

Main Results:

Necessary conditions for inter-layer synchronization were analytically derived.
Numerical and experimental results confirmed the analytical predictions.
Inter-layer synchronization demonstrated robustness against network de-multiplexing.

Conclusions:

Inter-layer synchronization is a stable and robust phenomenon in multiplex networks under specific conditions.
The findings provide a theoretical framework and experimental evidence for understanding synchronization in complex multilayer systems.