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Transitions to synchronization in adaptive multilayer networks with higher-order interactions
Richita Ghosh1, Md Sayeed Anwar2, Dibakar Ghosh2
1Central University of Rajasthan, Department of Physics, Rajasthan, Ajmer 305 817, India.
Physical Review. E
|August 1, 2025
Summary
This study explores adaptive multilayer networks with higher-order interactions. Introducing order parameter adaptations reveals complex, tiered synchronization transitions and multiple pathways to collective behavior.
Area of Science:
- Complex systems
- Network science
- Nonlinear dynamics
Background:
- Real-world networks exhibit adaptive behavior and simultaneous interactions.
- Higher-order interactions are crucial in many complex systems.
- Understanding adaptive dynamics in multilayer networks is essential.
Purpose of the Study:
- Investigate the dynamics of adaptive multilayer networks with higher-order interactions.
- Analyze the influence of order parameter adaptation on synchronization routes.
- Explore the impact of linear and nonlinear adaptation functions.
Main Methods:
- Modeling adaptive multilayer networks of Kuramoto oscillators.
- Analyzing dynamics with pairwise and higher-order interactions.
- Studying bifurcations and basins of attraction for adaptive systems.
Main Results:
- Discovered tiered transitions to synchronization with linear adaptation.
- Observed continuous, abrupt, and multiple routes to synchronization.
- Identified three nonlinear adaptation-induced tiered transitions: continuous, discontinuous, and hysteretic.
Conclusions:
- Order parameter adaptations significantly influence dynamics in higher-order multilayer networks.
- Adaptive interactions can create multistability and alter synchronization pathways.
- The study provides insights into synchronization phenomena in complex adaptive systems.
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