Collective steady-state patterns of swarmalators with finite-cutoff interaction distance

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.

9 pages, 8 figures

References in corpus (2)

• Novel type of phase transition in a system of self-driven particles
• Entrainment transition in populations of random frequency oscillators

Cited by in corpus (10)

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• 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
• Coupling disorder in a population of swarmalators
• Suppression of discontinuous phase transitions by particle diffusion