Dynamical Chaos in a Nonlinear System with 1/ f   Spectrum

V. P. Koverda; V. N. Skokov

doi:10.1134/S1063785019110233

Dynamical Chaos in a Nonlinear System with 1/f Spectrum

Authors: Koverda V.P.¹, Skokov V.N.¹
Affiliations:
1. Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences
Issue: Vol 45, No 11 (2019)
Pages: 1159-1162
Section: Article
URL: https://journals.rcsi.science/1063-7850/article/view/208490
DOI: https://doi.org/10.1134/S1063785019110233
ID: 208490

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Abstract
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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

coupled phase transitions, dynamical chaos, power spectrum, 1/f noise, stochastic resonance, entropy maximum.

About the authors

V. P. Koverda

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

Author for correspondence.
Email: koverda@itp.uran.ru
Russian Federation, Yekaterinburg, 620016

V. N. Skokov