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Updated: May 23, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Phase-shift inversion in oscillator systems with periodically switching couplings.
Sang Hoon Lee1, Sungmin Lee, Seung-Woo Son
1IceLab, Department of Physics, Umeå University, 901 87 Umeå, Sweden. sanghoon.lee@physics.umu.se
Summary
We studied synchronization transitions in oscillator systems by analyzing their temporal response to changing interactions. The system
Area of Science:
- Complex systems
- Nonlinear dynamics
- Statistical physics
Background:
- External periodic changes offer insights into system dynamics.
- Synchronization transitions are archetypal dynamic phase transitions.
Purpose of the Study:
- Investigate synchronization transitions via temporal response analysis.
- Examine the Kuramoto model with periodically switching interactions.
Main Methods:
- Simulations of the Kuramoto model with time-varying interactions.
- Analysis of the order parameter's relative delay and phase shift.
- Comparison across globally coupled systems and scale-free networks.
Main Results:
- Synchronization transition in switching interactions mirrors the mean-field model.
- Synchronization signatures appear as a relative delay in the order parameter.
- Phase shift inversion occurs near the transition due to diverging relaxation times.
Conclusions:
- System's phase transition is observable through temporal response to interaction topology.
- Diverging relaxation times explain counterintuitive phase-shift inversions.
- Findings apply to diverse network structures, including scale-free networks.
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