Geodesic
Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 29 (2021) no. 6, pp. 892-904.

Voir la notice de l'article provenant de la source Math-Net.Ru

Purpose of this work is to of the research - Increasing the sensitivity of a method for diagnosing phase synchronization of autogenerators based on their non-stationary time series in real time, and also a comparison of the statistical properties of the proposed modification of the method with the well-known method for diagnostics of loop synchronization, which has proven itself in the analysis of experimental data. Methods. The paper compares the probabilities of the appearance of an error of the second kind of the developed modified method for diagnostics of phase synchronization with the probabilities of occurrence of an error of the second kind of the known method at equal values of sensitivity. When comparing the methods, generated test time realizations with a priori known boundaries of the phase synchronization sections are used, which repeat the statistical properties of the experimental data. It also compares the computational complexity of the two methods. Results. A modification of the method for diagnosing phase synchronization of autonomic regulation circuits in real time is proposed. It is shown that the proposed modification provides similar values of sensitivity and probability of appearance of errors of the second kind as the previously proposed approach. The developed method has less computational complexity than the previously proposed method. The values of free parameters corresponding to different values of sensitivity and probability of appearance of errors of the second kind are obtained. Conclusion. The area of application of the developed method with modification is formulated. The low computational complexity of the proposed method, as well as the possibility of switching devices to integer computations in calculations, makes it possible to use it for wearable registrations performing calculations in real time, based on small-sized low-power processors that do not support floating-point arithmetic operations.
Keywords: phase synchronization, sensitivity, specificity, oscillator, time series, nonstationarity. 
@article{IVP_2021_29_6_a5,
     author = {A. V. Kurbako and D. D. Kulminskij and E. I. Borovkova and A. R. Kiselev and V. V. Skazkina and V. I. Ponomarenko and M. D. Prokhorov and B. P. Bezruchko and V. I. Gridnev and A. S. Karavaev},
     title = {Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {892--904},
     publisher = {mathdoc},
     volume = {29},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2021_29_6_a5/}
}
TY  - JOUR
AU  - A. V. Kurbako
AU  - D. D. Kulminskij
AU  - E. I. Borovkova
AU  - A. R. Kiselev
AU  - V. V. Skazkina
AU  - V. I. Ponomarenko
AU  - M. D. Prokhorov
AU  - B. P. Bezruchko
AU  - V. I. Gridnev
AU  - A. S. Karavaev
TI  - Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
JO  - Izvestiya VUZ. Applied Nonlinear Dynamics
PY  - 2021
SP  - 892
EP  - 904
VL  - 29
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVP_2021_29_6_a5/
LA  - ru
ID  - IVP_2021_29_6_a5
ER  - 
%0 Journal Article
%A A. V. Kurbako
%A D. D. Kulminskij
%A E. I. Borovkova
%A A. R. Kiselev
%A V. V. Skazkina
%A V. I. Ponomarenko
%A M. D. Prokhorov
%A B. P. Bezruchko
%A V. I. Gridnev
%A A. S. Karavaev
%T Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
%J Izvestiya VUZ. Applied Nonlinear Dynamics
%D 2021
%P 892-904
%V 29
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVP_2021_29_6_a5/
%G ru
%F IVP_2021_29_6_a5
A. V. Kurbako; D. D. Kulminskij; E. I. Borovkova; A. R. Kiselev; V. V. Skazkina; V. I. Ponomarenko; M. D. Prokhorov; B. P. Bezruchko; V. I. Gridnev; A. S. Karavaev. Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 29 (2021) no. 6, pp. 892-904. http://geodesic.mathdoc.fr/item/IVP_2021_29_6_a5/