Sync and Swarm: Solvable Model of Nonidentical Swarmalators
S. Y. Yoon, Kevin O’Keeffe, J. F. F. Mendes, A. V. Goltsev
Abstract
We study a model of nonidentical swarmalators, generalizations of phase oscillators that both sync in time and swarm in space. The model produces four collective states: asynchrony, sync clusters, vortexlike phase waves, and a mixed state. These states occur in many real-world swarmalator systems such as biological microswimmers, chemical nanomotors, and groups of drones. A generalized Ott-Antonsen ansatz provides the first analytic description of these states and conditions for their existence. We show how this approach may be used in studies of active matter and related disciplines.
Topics & Concepts
AnsatzsyncSwarm behaviourPhysicsStatistical physicsActive matterSynchronization (alternating current)Classical mechanicsComputer scienceQuantum mechanicsMathematicsTopology (electrical circuits)CombinatoricsBiologyArtificial intelligenceCell biologyChannel (broadcasting)Computer networkMicro and Nano RoboticsMolecular Communication and NanonetworksModular Robots and Swarm Intelligence