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Updated: Jun 24, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Transition to complete synchronization in phase-coupled oscillators with nearest neighbor coupling.
Hassan F El-Nashar1, Paulsamy Muruganandam, Fernando F Ferreira
1Department of Physics, Faculty of Science, Ain Shams University, Cairo, Egypt.
Chaos (Woodbury, N.Y.)
|April 2, 2009
Summary
Synchronization in coupled oscillators shows universal scaling behavior. The time between frequency bursts diverges at critical coupling, revealing a key mechanism for phase locking in Kuramoto models.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Statistical physics
Background:
- The Kuramoto model is a fundamental tool for studying synchronization phenomena in coupled oscillatory systems.
- Understanding the transition to complete synchronization is crucial for various applications, from neuroscience to power grids.
Purpose of the Study:
- To investigate the dynamics of synchronization in a Kuramoto-like model with nearest neighbor coupling.
- To identify universal scaling laws and critical phenomena at the onset of complete synchronization.
- To elucidate the underlying mechanism responsible for phase locking.
Main Methods:
- Analysis of individual oscillator behavior near the synchronization transition.
- Examination of the time dependence of oscillator frequencies.
- Mathematical deduction of phase and frequency forms at the critical point.
Main Results:
- The time interval between frequency bursts exhibits universal scaling.
- This interval diverges as the coupling strength approaches the critical value.
- A key mechanism driving phase locking was identified.
Conclusions:
- The study reveals universal scaling laws governing the onset of synchronization in this model.
- The identified mechanism provides insight into how coupled oscillators achieve phase locking.
- The deduced forms for phases and frequencies offer a quantitative description of the synchronized state.
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