Solvable dynamics in a system of interacting random tops

Abstract

In this letter a new solvable model of synchronization dynamics is introduced. It consists of a system of long range interacting tops with random precession frequencies. The model allows for an explicit study of orientational effects in synchronized phenomena. A stability analysis of the incoherent solution is performed for different types of orientational disorder. A system with only orientational disorder always synchronizes in the absence of external noise.

6 Pages including 1 figure, Revtex

References in corpus (1)

• A moment based approach to the dynamical solution of the Kuramoto model

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