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Dynamics of pulsating swarmalators on a ring.
Samali Ghosh1, Kevin O'Keeffe2, Gourab Kumar Sar1
1Indian Statistical Institute, Physics and Applied Mathematics Unit, 203 B. T. Road, Kolkata 700108, India.
Physical Review. E
|December 23, 2025
Summary
This study explores swarmalator models using Winfree-type coupling, revealing six distinct organization modes. This approach offers a more generalized understanding of coupled oscillator systems beyond traditional phase difference models.
Area of Science:
- Physics
- Complex Systems
- Nonlinear Dynamics
Background:
- Swarmalators combine spatial swarming and temporal synchronization, extending phase oscillator models.
- Previous research primarily utilized Kuramoto-type couplings based on phase differences.
Purpose of the Study:
- To investigate swarmalator dynamics under Winfree-type coupling, a multiplicative interaction.
- To explore the emergent collective behaviors and organization modes in this generalized model.
Main Methods:
- Numerical simulations of the one-dimensional swarmalator model.
- Analytical characterization of the system's long-term organizational states.
Main Results:
- Identified six distinct long-term modes of collective organization.
- Demonstrated that Winfree-type coupling is a more general framework than Kuramoto-type coupling.
Conclusions:
- Winfree-type coupling in swarmalators leads to a richer variety of collective behaviors.
- The study provides a deeper understanding of synchronization and spatial organization in coupled systems.
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