Collective behaviour of swarmalators on a 1D ring

Abstract

We study the collective behavior of swarmalators, generalizations of phase oscillators that both sync and swarm, confined to move on a 1D ring. This simple model captures some of the essence of movement in 2D or 3D but has the benefit of being solvable: most of the collective states and their bifurcations can be specified exactly. The model also captures the behavior of real-world swarmalators which swarm in quasi-1D rings such as bordertaxic sperm and vinegar eels.

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Cited by in corpus (11)

• Collective dynamics of swarmalators with higher-order interactions
• Diverse Behaviors in Non-Uniform Chiral and Non-Chiral Swarmalators
• 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
• Generalized frustration in the multidimensional Kuramoto model
• Matrix coupling and generalized frustration in Kuramoto oscillators
• Exploring the phase diagrams of multidimensional Kuramoto models
• Order, chaos, and dimensionality transition in a system of swarmalators
• Exact potentials in multivariate Langevin equations