Bounds for the asymptotic order parameter of the stochastic Kuramoto model

JOURNAL OF APPROXIMATION THEORY

卷:217

Article

Mezo, Istvan¹  Baricz, Arpad^2,3 

[1] Nanjing Univ Informat Sci & Technol, Dept Math, 5 Panxin Rd, Nanjing, Jiangsu, Peoples R China

[2] Obuda Univ, Inst Appl Math, H-1034 Budapest, Hungary

[3] Babes Bolyai Univ, Dept Econ, Cluj Napoca 400591, Romania

关键词: Stochastic Kuramoto model;    Asymptotic order parameter;    Modified Bessel functions;    Turan type inequalities;    Approximation;    Lagrange inversion;    Monotonicity properties;    Bounds;   

DOI  :  10.1016/j.jat.2017.02.001

来源: Elsevier

【 摘 要 】

Turk 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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free