Functional renormalization-group theory of universal $\frac{1}{f}$ noise in dynamical systems

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1 August 1983

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 28 (2) , 1210-1212
https://doi.org/10.1103/physreva.28.1210

Abstract

The functional renormalization group is used to show that a wide class of dynamical systems displays spectra with a

\frac{1}{f^{δ}}

divergence. Cutoffs introduced by stochastic or deterministic perturbations have universal features as well. Numerical support is presented.

Keywords

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