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Stochastic Kuramoto oscillators with inertia and higher-order interactions
Priyanka Rajwani1, Sarika Jalan1
1Indian Institute of Technology Indore, Complex Systems Lab, Department of Physics, Khandwa Road, Simrol, Indore-453552, India.
Physical Review. E
|February 20, 2025
Summary
Noise impacts coupled Kuramoto oscillators with higher-order interactions. Increasing noise strength shifts synchronization transition critical points to higher coupling values, altering transition order in overdamped systems.
Area of Science:
- Physics
- Nonlinear Dynamics
- Complex Systems
Background:
- Coupled oscillators are fundamental in various scientific fields.
- Previous research focused on pairwise interactions and noise effects.
- The role of higher-order interactions in noisy oscillator systems remains less explored.
Purpose of the Study:
- To investigate the influence of noise on second-order coupled Kuramoto oscillators with higher-order interactions.
- To analyze how increasing noise strength affects synchronization transitions and critical points.
- To examine the transition order changes in overdamped systems.
Main Methods:
- Stochastic second-order Kuramoto model with higher-order interactions.
- Perturbation analysis to derive critical point expressions.
- Ott-Antonsen ansatz for analyzing critical point nature.
Main Results:
- Increased noise strength shifts critical points for synchronization transitions to higher coupling values.
- An expression for the forward critical point is derived, dependent on inertia and noise.
- In overdamped systems, increasing noise strength changes first-order transitions to second-order, even with higher-order couplings.
Conclusions:
- Noise significantly alters synchronization dynamics in higher-order coupled Kuramoto oscillators.
- The findings provide insights into the role of noise and inertia in complex oscillatory systems.
- The study contributes to understanding phase transitions in non-linear dynamics.
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