Bounds for the asymptotic order parameter of the stochastic Kuramoto model
Classical Analysis and ODEs
2017-07-14 v1
Abstract
Tur\'an type inequalities for modified Bessel functions of the first kind are used to deduce some sharp lower and upper bounds for the asymptotic order parameter of the stochastic Kuramoto model. Moreover, approximation from the Lagrange inversion theorem and a rational approximation are given for the asymptotic order parameter.
Keywords
Cite
@article{arxiv.1601.03199,
title = {Bounds for the asymptotic order parameter of the stochastic Kuramoto model},
author = {István Mező and Árpád Baricz},
journal= {arXiv preprint arXiv:1601.03199},
year = {2017}
}
Comments
10 pages, 3 figures