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Synchronization Induced by Layer Mismatch in Multiplex Networks.

Md Sayeed Anwar1, Sarbendu Rakshit2, Jürgen Kurths3,4

  • 1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India.

Entropy (Basel, Switzerland)
|July 29, 2023
PubMed
Summary
This summary is machine-generated.

Multiplex networks with mismatched layers synchronize more easily. Introducing parameter mismatch in local dynamics reduces the required coupling strength for intralayer synchronization and widens its occurrence area.

Keywords:
master stability functionmultiplex networksparameter mismatchsynchronization

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Area of Science:

  • Complex systems
  • Network science
  • Synchronization phenomena

Background:

  • Heterogeneity is crucial in complex systems.
  • Structural mismatch in multiplex networks is well-studied.
  • Parameter mismatch's effect on intralayer synchronization is less understood.

Purpose of the Study:

  • Investigate intralayer synchronization in multiplex networks with parameter mismatch.
  • Analyze the impact of layer heterogeneity on synchronization dynamics.
  • Determine conditions for stable intralayer synchrony.

Main Methods:

  • Analytical derivation of conditions for intralayer synchronous solution existence and stability.
  • Mathematical modeling of multiplex networks with parameter mismatch.
  • Analysis of the relationship between parameter mismatch and synchronization properties.

Main Results:

  • Parameter mismatch decreases the required intralayer coupling strength for synchronization.
  • Increasing mismatch widens the parameter region where intralayer synchronization occurs.
  • All layers synchronize simultaneously despite parameter differences.

Conclusions:

  • Multiplex networks with mismatched layers can achieve synchrony more readily than identical-layered networks.
  • Parameter heterogeneity can facilitate intralayer synchronization.
  • The study provides theoretical insights into synchronization in complex networked systems.