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Explosive transition in adaptive Stuart-Landau oscillators with higher-order interactions
1Central University of Rajasthan, Department of Physics, Ajmer 305 817, India.
Physical Review. E
|February 20, 2025
Summary
Adaptive coupling in nonidentical Stuart-Landau oscillators can cause explosive synchronization and transitions to death states, unlike simpler coupling methods. These findings offer new insights into complex system dynamics.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Nonidentical Stuart-Landau oscillators are fundamental models for studying synchronization phenomena.
- Understanding transitions to synchronization and death states is crucial in various dynamical systems.
- Higher-order interactions and adaptive coupling introduce complex behaviors not captured by pairwise coupling alone.
Purpose of the Study:
- To investigate the impact of adaptive coupling and higher-order interactions on the synchronization and death states of nonidentical Stuart-Landau oscillators.
- To compare the dynamics resulting from pairwise versus higher-order interactions under adaptive coupling.
- To explore the influence of coupling strength and network structure (global vs. random) on these transitions.
Main Methods:
- Simulations of nonidentical Stuart-Landau oscillators with adaptive pairwise and higher-order coupling.
- Analysis of transition types (continuous vs. explosive) to synchronization and death states.
- Extension of analysis to random network topologies.
Main Results:
- Global coupling with higher-order interactions leads to asynchronous oscillations.
- Pairwise interactions show a continuous transition to synchronization, which becomes explosive with adaptation.
- Combined pairwise and higher-order interactions with adaptation result in explosive synchronization and transitions to death states.
- Similar dynamics are observed in random networks.
Conclusions:
- Adaptive coupling significantly alters synchronization dynamics, promoting explosive transitions.
- The interplay between interaction order (pairwise vs. higher-order) and adaptation is critical in determining system behavior.
- Findings provide insights into synchronization in complex networks, consistent with Kuramoto oscillator models.
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