Collective behavior of swarmalators on a ring
Kevin O'Keeffe, Steven Ceron, Kirstin Petersen
Abstract
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.
Topics & Concepts
Collective behaviorSimple (philosophy)Ring (chemistry)PhysicsStatistical physicsPhase (matter)Movement (music)Swarm behaviourMotion (physics)Collective motionMathematicssyncClassical mechanicsTheoretical physicsPhase lockingSynchronization (alternating current)Computer scienceNonlinear Dynamics and Pattern FormationMicro and Nano Roboticsstochastic dynamics and bifurcation