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

Research output: Contribution to journalConference articlepeer-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 languageEnglish
Article number19
Pages (from-to)139-147
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5845
DOIs
Publication statusPublished - 2005
Externally publishedYes
EventNoise in Complex Systems and Stochastic Dynamics III - Austin, TX, United States
Duration: 24 May 200526 May 2005

Keywords

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

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