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Optimization of synchronizability in multiplex networks by rewiring one layer.

Sanjiv K Dwivedi1, Murilo S Baptista2, Sarika Jalan1,3

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Optimizing multiplex networks for synchronizability can be efficient by evolving just one layer. Interlayer coupling strength is key, even when one layer has weaker interactions, impacting convergence speed.

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Area of Science:

  • Complex Systems and Network Science
  • Mathematical Modeling
  • Computational Physics

Background:

  • Multiplex networks offer a more realistic framework for complex systems compared to single-layer networks.
  • Optimizing network properties like synchronizability is crucial for understanding and controlling system behavior.

Purpose of the Study:

  • To investigate the optimization of synchronizability in multiplex networks by rewiring only a single layer.
  • To identify conditions and factors influencing the efficiency of this single-layer optimization process.

Main Methods:

  • Simulated rewiring of one layer in a multiplex network while keeping other layers fixed.
  • Analysis of synchronizability convergence efficiency under varying interlayer coupling strengths.
  • Investigation of the impact of rewiring probability on network structure and synchronizability.

Main Results:

  • Evolving a single layer can achieve near-optimal synchronizability, comparable to rewiring multiple layers.
  • Interlayer coupling strength significantly dictates optimization efficiency, even with disparate layer interaction strengths.
  • Optimization efficiency is maximized when the fixed layer has a regular architecture.

Conclusions:

  • Single-layer optimization is a viable and efficient strategy for enhancing multiplex network synchronizability.
  • Interlayer coupling is a critical parameter for controlling the effectiveness of network optimization.
  • The structure of the fixed layer influences both the optimization process and the final network synchronizability.