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Explosive synchronization in generalized multiplex network with competitive and cooperative interlayer interactions
Palash Kumar Pal1, Nikita Frolov2, Sarbendu Rakshit3
1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India.
Chaos (Woodbury, N.Y.)
|July 10, 2025
Summary
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.
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.
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