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Explosive synchronization in generalized multiplex network with competitive and cooperative interlayer interactions.

Palash Kumar Pal1, Nikita Frolov2, Sarbendu Rakshit3

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Summary
This summary is machine-generated.

Explosive synchronization in adaptive multiplex networks is controlled by competitive node fractions and network layers. Increased layers enhance synchronization resilience, offering insights for complex system control.

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Area of Science:

  • Complex Systems
  • Network Science
  • Dynamical Systems

Background:

  • Explosive synchronization is a critical transition in coupled systems with broad applications.
  • Real-world networks like neural, power, and social systems exhibit complex synchronization behaviors.

Purpose of the Study:

  • Investigate explosive synchronization in adaptive multiplex networks with diverse interlayer interactions.
  • Analyze the impact of competitive and cooperative coupling on synchronization dynamics.

Main Methods:

  • Developed a generalized framework for adaptive multiplex networks with arbitrary layers.
  • Incorporated simultaneous cooperative and competitive interlayer adaptive coupling.
  • Employed a mean-field approach for analytical predictions and numerical simulations.

Main Results:

  • The fraction of competitive nodes critically influences synchronization; higher fractions suppress it.
  • Increasing the number of layers enhances hysteretic behavior and synchronization resilience.
  • Analytical predictions closely matched numerical simulations across various network sizes.

Conclusions:

  • Multiplex network architectures and adaptive interdependencies are crucial for synchronization patterns.
  • Findings offer a comprehensive understanding of explosive synchronization in complex systems.
  • Provides insights for controlling synchronization in real-world networks.