23 May 2005 Motion in dynamical disorder: applications to 1/f noise and oscillator phase jitter
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Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.609232
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States
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.
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James P. Gleeson, "Motion in dynamical disorder: applications to 1/f noise and oscillator phase jitter", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); doi: 10.1117/12.609232; https://doi.org/10.1117/12.609232
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