Bounds for the asymptotic order parameter of the stochastic Kuramoto model

DOI10.1016/j.jat.2017.02.001zbMath1367.39009arXiv1601.03199OpenAlexW2240053164MaRDI QIDQ526780

Árpád Baricz, István Mezö

Publication date: 15 May 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03199

zbMATH Keywords

modified Bessel functionsmonotonicity propertiesLagrange inversionTurán-type inequalitiesasymptotic order parameterstochastic Kuramoto model

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• DLMF

Cites Work

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• Chemical oscillations, waves, and turbulence
• Dynamical aspects of mean field plane rotators and the Kuramoto model
• Amos-type bounds for modified Bessel function ratios
• Bounds for Turánians of modified Bessel functions
• Computation of Modified Bessel Functions and Their Ratios
• Bounds for modified Bessel functions of the first and second kinds

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