A MOMENT-BASED APPROACH TO THE DYNAMICAL SOLUTION OF THE KURAMOTO MODEL

Authors
PEREZ CJ RITORT F
Citation
Cj. Perez et F. Ritort, A MOMENT-BASED APPROACH TO THE DYNAMICAL SOLUTION OF THE KURAMOTO MODEL, Journal of physics. A, mathematical and general, 30(23), 1997, pp. 8095-8103
Citations number
26
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
23
Year of publication
1997
Pages
8095 - 8103
Database
ISI
SICI code
0305-4470(1997)30:23<8095:AMATTD>2.0.ZU;2-Y
Abstract
We examine the dynamics of the Kuramoto model with a new analytical ap proach. By defining an appropriate set of moments the dynamical equati ons can be exactly closed. We discuss some applications of the formali sm 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.