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 |
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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 | |
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