We present a class of extended Kuramoto models describing a flocking motion of particles on the infinite cylinder and provide sufficient conditions for the asymptotic formation of locked solutions where the distance between particles remains constant. Our proposed model includes the complex Kuramoto model for synchronization. We also provide several numerical simulation results and compare them with analytical results.

A class of interacting particle systems on the infinite cylinder with flocking phenomena

LATTANZIO, CORRADO;RUBINO, BRUNO
2012

Abstract

We present a class of extended Kuramoto models describing a flocking motion of particles on the infinite cylinder and provide sufficient conditions for the asymptotic formation of locked solutions where the distance between particles remains constant. Our proposed model includes the complex Kuramoto model for synchronization. We also provide several numerical simulation results and compare them with analytical results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/89588
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