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Updated: Feb 7, 2026
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Collective phase slips and phase synchronizations in coupled oscillator systems
1Department of Physics, Beijing Normal University, Beijing 100875, China and Department of Physics and Center for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China.
Summary
This study explores phase synchronization in coupled oscillators. Researchers discovered a transition from order to chaos, with a unique quantized stick-slip phenomenon observed during desynchronization.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Statistical Physics
Background:
- Coupled oscillators exhibit rich synchronization phenomena.
- Distributed natural frequencies introduce complexity to synchronization dynamics.
Purpose of the Study:
- To investigate phase synchronization in coupled limit cycles with distributed frequencies.
- To characterize the transition from synchronization to desynchronization and chaos.
- To analyze novel phenomena near synchronization transitions.
Main Methods:
- Numerical simulations of coupled limit cycle oscillators.
- Analysis of phase dynamics and synchronization patterns.
- Identification of synchronization trees and phase transitions.
Main Results:
- A synchronization tree was identified, detailing transitions from free oscillations to clustering and global phase locking.
- A desynchronization-induced transition to chaos was demonstrated.
- A quantized stick-slip feature in oscillator phases was observed near desynchronization points.
Conclusions:
- The study reveals a complex synchronization hierarchy in coupled oscillators with distributed frequencies.
- The observed quantized stick-slip behavior provides insights into instability mechanisms near phase synchronization.
- Findings contribute to understanding complex dynamics in networks of oscillators.
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