Dynamical Chaos in a Nonlinear System with 1/f  Spectrum

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  behavio...

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Veröffentlicht in:Technical physics letters 2019-11, Vol.45 (11), p.1159-1162
Hauptverfasser: Koverda, V. P., Skokov, V. N.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1063-7850
1090-6533
DOI:10.1134/S1063785019110233