Physics

Sociology

Organic chemistry

Ring (chemistry)

Mathematics

Motion (physics)

Collective behavior

Statistical physics

Mathematical optimization

Epistemology

Philosophy

Swarm behaviour

Chemistry

Anthropology

Computer science

Phase (matter)

Simple (philosophy)

Quantum mechanics

Classical mechanics

Physical review. E

We study the collective behavior of swarmalators, generalizations of phase oscillators that both sync and swarm, confined to move on a one-dimensional (1D) ring. This simple model captures the essence of movement in two or three dimensions, 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 vinegar eels and sperm.

Collective behavior of swarmalators on a ring