A moment-based approach to the dynamical solution of the Kuramoto model
- 7 December 1997
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (23) , 8095-8103
- https://doi.org/10.1088/0305-4470/30/23/010
Abstract
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 such as the existence of an effective Hamiltonian for the dynamics. We also show how this approach can be used to numerically investigate the dynamical behaviour of the model without finite-size effects.Keywords
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