Collective steady-state patterns of swarmalators with finite-cutoff interaction distance
arXiv:2103.11584 · doi:10.1063/5.0038591
Abstract
We study the steady-state patterns of population of the coupled oscillators that sync and swarm, where the interaction distances among oscillators have finite-cutoff in interaction distance. We examine how the static patterns known in the infinite-cutoff are reproduced or deformed, and explore a new static pattern that does not appear until a finite-cutoff is considered. All steady-state patterns of the infinite-cutoff, static sync, static async, and static phase wave are respectively repeated in space for proper finite-cutoff ranges. Their deformation in shape and density takes place for the other finite-cutoff ranges. Bar-like phase wave states are observed, which has not been the case for the infinite-cutoff. All the patterns are investigated via numerical and theoretical analysis.
arXiv comment9 pages, 8 figures
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- Sync and swarm: solvable model of non-identical swarmalators
- Pinning in a system of swarmalators
- Attractive and repulsive interactions in the one-dimensional swarmalator model
- Swarmalators on a ring with uncorrelated pinning
- Order, chaos, and dimensionality transition in a system of swarmalators
- Unified Ott--Antonsen Framework for Stability and Bifurcations in Ring Swarmalators
- Suppression of discontinuous phase transitions by particle diffusion
- Coupling disorder in a population of swarmalators