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

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

1997-11-27

arxiv.org/abs/cond-mat/9711299v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures, Revtex file, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/30/23/010

We examine the dynamics of the Kuramoto model with a new analytical approach. By defining an appropriate set of moments the dynamical equations can be exactly closed. We discuss some applications of the formalism like the existence of an effective Hamiltonian for the dynamics. We also show how this approach can be used to numerically investigate the dynamical behavior of the model without finite size effects.

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