Motion in dynamical disorder - Applications to 1/f noise and oscillator phase jitter

James P. Gleeson

doi:10.1117/12.609232

Motion in dynamical disorder - Applications to 1/f noise and oscillator phase jitter

James P. Gleeson

University College Cork

Research output: Contribution to journal › Conference article › peer-review

Abstract

Motion in Gaussian random space-time fields ("dynamical disorder") is proposed as a model for certain dynamical systems where fluctuations play an important role. Analytical and numerical methods adapted from the study of passive scalar turbulence are applied to two examples: phase diffusion in noisy nonlinear oscillators and demonstrating the existence of 1/f phase noise in the mean field of Kuramoto's coupled oscillators model.

Original language	English
Article number	19
Pages (from-to)	139-147
Number of pages	9
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5845
DOIs	https://doi.org/10.1117/12.609232
Publication status	Published - 2005
Externally published	Yes
Event	Noise in Complex Systems and Stochastic Dynamics III - Austin, TX, United States Duration: 24 May 2005 → 26 May 2005

Keywords

1/f noise
Coupled oscillators
Diffusion
Kuramoto model
Phase jitter
Turbulent transport

Access to Document

10.1117/12.609232

Cite this

@article{8f7340031612470dbbb5fbc8668c0cd4,

title = "Motion in dynamical disorder - Applications to 1/f noise and oscillator phase jitter",

abstract = "Motion in Gaussian random space-time fields ({"}dynamical disorder{"}) is proposed as a model for certain dynamical systems where fluctuations play an important role. Analytical and numerical methods adapted from the study of passive scalar turbulence are applied to two examples: phase diffusion in noisy nonlinear oscillators and demonstrating the existence of 1/f phase noise in the mean field of Kuramoto's coupled oscillators model.",

keywords = "1/f noise, Coupled oscillators, Diffusion, Kuramoto model, Phase jitter, Turbulent transport",

author = "Gleeson, \{James P.\}",

year = "2005",

doi = "10.1117/12.609232",

language = "English",

volume = "5845",

pages = "139--147",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

note = "Noise in Complex Systems and Stochastic Dynamics III ; Conference date: 24-05-2005 Through 26-05-2005",

}

TY - JOUR

T1 - Motion in dynamical disorder - Applications to 1/f noise and oscillator phase jitter

AU - Gleeson, James P.

PY - 2005

Y1 - 2005

N2 - Motion in Gaussian random space-time fields ("dynamical disorder") is proposed as a model for certain dynamical systems where fluctuations play an important role. Analytical and numerical methods adapted from the study of passive scalar turbulence are applied to two examples: phase diffusion in noisy nonlinear oscillators and demonstrating the existence of 1/f phase noise in the mean field of Kuramoto's coupled oscillators model.

AB - Motion in Gaussian random space-time fields ("dynamical disorder") is proposed as a model for certain dynamical systems where fluctuations play an important role. Analytical and numerical methods adapted from the study of passive scalar turbulence are applied to two examples: phase diffusion in noisy nonlinear oscillators and demonstrating the existence of 1/f phase noise in the mean field of Kuramoto's coupled oscillators model.

KW - 1/f noise

KW - Coupled oscillators

KW - Diffusion

KW - Kuramoto model

KW - Phase jitter

KW - Turbulent transport

UR - https://www.scopus.com/pages/publications/28444434776

U2 - 10.1117/12.609232

DO - 10.1117/12.609232

M3 - Conference article

AN - SCOPUS:28444434776

SN - 0277-786X

VL - 5845

SP - 139

EP - 147

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

M1 - 19

T2 - Noise in Complex Systems and Stochastic Dynamics III

Y2 - 24 May 2005 through 26 May 2005

ER -

Motion in dynamical disorder - Applications to 1/f noise and oscillator phase jitter

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this