Electrochemical noise of a Li-ion battery: measurement and spectral analysis

Astafev, E. A.

doi:10.1007/s10008-019-04209-5

Cited by 9 publications

(3 citation statements)

References 41 publications

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“…As one can notice from (A1), two parameters H and A enter in (A1) in a linear way. The integration by parts allows presenting the basic relationship (5) in the form…”

Section: Abbreviationsmentioning

confidence: 99%

“…In a similar fashion, one can transform the third hypothesis to the basic linear relationship of a type (5). This function satisfied to the Euler's differential equation of the third order:…”

Section: Abbreviationsmentioning

confidence: 99%

“…However, over the past 20-30 years, many researchers have been trying to extract reliable information from TLS. Notably, there has been significant progress in the analysis of the TLS achieved in electrochemistry [1][2][3][4][5] and other branches of sciences thanks to the works of Prof. Timashev, who proposed and developed the flicker-noise spectroscopy [6,7], and Prof. Yulmetyev, who applied the Mori-Zwanzig formalism [8][9][10] to describe many phenomena in different complex systems having diffusive nature. We should also mention a monograph written by Prof. Chen with his pupils [11], in which they provided an analysis of different types of model noises having presumably a fractal/scaling origin.…”

Section: Introductionmentioning

confidence: 99%

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Generalized Hurst Hypothesis: Description of Time-Series in Communication Systems

2021

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In this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider applying generalized Hurst laws to obtain a new set of reduced parameters in data associated with communication systems. We analyze three hypotheses. The first one contains one power-law exponent. The second one incorporates two power-law exponents, which are in many cases complex-conjugated. The third hypothesis has three power-law exponents, two of which are complex-conjugated as well. These hypotheses describe with acceptable accuracy (relative error does not exceed 2%) a wide set of trendless sequences (TLS) associated with radiometric measurements. Generalized Hurst laws operate with R/S curves not only in the asymptotic region, but in the entire domain. The fitting parameters can be used as the reduced parameters for the description of the given data. The paper demonstrates that this general approach can also be applied to other TLS.

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“…As one can notice from (A1), two parameters H and A enter in (A1) in a linear way. The integration by parts allows presenting the basic relationship (5) in the form…”

Section: Abbreviationsmentioning

confidence: 99%

Section: Abbreviationsmentioning

confidence: 99%