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Dynamics in the Sakaguchi-Kuramoto model with bimodal frequency distribution
Shuangjian Guo1, Yuan Xie2, Qionglin Dai1
1School of Science, Beijing University of Posts and Telecommunications, Beijing, People's Republic of China.
This study analyzes the Sakaguchi-Kuramoto model with bimodal frequency distributions. We found specific conditions for partial synchronization and the revival of incoherent states in coupled phase oscillators.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Theoretical physics
Background:
- The Sakaguchi-Kuramoto model describes coupled oscillators.
- Bimodal frequency distributions introduce complex dynamics.
- Understanding synchronization is crucial in various fields.
Purpose of the Study:
- Investigate the Sakaguchi-Kuramoto model with bimodal frequency distributions.
- Analyze the stability of incoherent and partial synchronous states.
- Determine conditions for the revival of incoherent states.
Main Methods:
- Utilized the Ott-Antonsen ansatz to simplify the model.
- Reduced complex oscillator dynamics to low-dimensional ordinary differential equations.
- Analyzed bifurcations and phase lag effects.
Main Results:
- Identified different types of bifurcations for symmetrical bimodal distributions.
- Investigated the influence of phase lag on system dynamics.
- Observed and specified conditions for the revival of the incoherent state in asymmetrical distributions.
Conclusions:
- The bimodal frequency distribution significantly impacts oscillator synchronization.
- Phase lag plays a critical role in the emergent dynamics.
- The study provides insights into complex synchronization patterns and state revival.
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