This article is cited in 2 papers

Dynamical chaos in a nonlinear system with 1/$f$ spectrum

V. P. Koverda, V. N. Skokov

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, Ekaterinburg

Abstract: A system of two nonlinear differential equations proposed for explaining the physical nature of the 1/$f$ spectra reveals the chaotization of trajectories under periodic external action in one of the system equations. This external noise leads to a stochastic resonance and low-frequency 1/$f$ behavior of the power spectra. The stochastic resonance and 1/$f$ behavior correspond to the maximum of information entropy, which is evidence of stability of the random process.

Keywords: interacting phase transitions, dynamical chaos, power spectrum, 1/$f$ noise, stochastic resonance, maximum entropy.

Received: 19.06.2019
Revised: 05.08.2019
Accepted: 07.08.2019

DOI: 10.21883/PJTF.2019.22.48649.17936

 English version: Technical Physics Letters, 2019, 45:11, 1159–1162

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