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Coherence enhanced by detrained oscillators: Breaking π-reflection symmetry.
Hyunsuk Hong1, Jae Sung Lee2, Hyunggyu Park3
1Department of Physics and Research Institute of Physics and Chemistry, Jeonbuk National University, Jeonju 54896, South Korea.
Chaos (Woodbury, N.Y.)
|December 1, 2025
Summary
We found a new dynamic mode in swarmalator systems that breaks symmetry, enhancing global coherence. This discovery offers insights into how dynamic oscillators can promote synchronization in coupled systems.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Statistical physics
Background:
- The Kuramoto model is a standard framework for studying synchronization in coupled oscillators.
- Swarmalator systems, with coupled phase variables, represent a minimal model for collective behavior.
Purpose of the Study:
- To investigate a generalized Kuramoto model with two coupled phase variables per oscillator.
- To identify novel dynamic modes and their impact on global coherence and synchronization.
Main Methods:
- Analytical derivation of system dynamics under perfect frequency correlation.
- Numerical simulations to explore the phase diagram and transition behaviors.
Main Results:
- Identification of a novel dynamic mode with bounded oscillatory motion.
- Demonstration of π-reflection symmetry breaking leading to enhanced global coherence.
- Observation of a non-trivial mixed state with distinct ordering in phase variables.
Conclusions:
- Detrained (dynamic) oscillators can fundamentally promote global synchronization.
- The findings offer broad insights into coupled dynamical systems beyond the classical Kuramoto paradigm.
- Symmetry breaking is a key mechanism for achieving enhanced coherence in swarmalator systems.
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