RECONSTRUCTION OF NONLINEAR CHARACTERISTICS AND EQUIVALENT PARAMETERS FROM EXPERIMENTAL TIME SERIES

I. V. Sysoev, D. A. Smirnov, Y. P. Seleznev, B. P. Bezruchko, Saratov State University; Saratov Russian Academy of Sciences, Saratov, Russia

SYNCHROINFO JOURNAL. Volume 5, Number 5 (2019). P. 6-8.

Abstract

We propose the way of using the procedure of reconstruction of model equations from time series to obtain equivalent characteristics of nonlinear electronic devices in regimes of large amplitudes and complex power spectrum. The method is illustrated by considering driven electric circuit with semiconductor diode with p-n junction in different regimes.

Keywords: time series analysis, mathematical modelling, equivalent schemes and parameters, semiconductor diode.

References

[1] Bezruchko B.P. and Smirnov D.A. “Constructing of nonautonomous differential equations from experimental time series”, Phys. Rev. E, 2000, Vol. 63, 016207.
[2] Smirnov D.A., Sysoev I.V., Seleznev Ye.P., Bezruchko B.P., “Reconstruction of models of nonautonomous systems with discrete power spectrum of driving”, Pis’ma v Zh.Tekh.Fiz., 2003, 29(19), pp. 69-76.
[3] Pasynkov V.V., Chirkin L.K., Shinkov A.D., “Semiconductor devices”, Moscow, Vysshaya shkola, 1981. 431 p.
[4] Gribkov D.A., Gribkova V.V., Kravtsov Yu.A., Kuznetsov Yu.I., Rzhanov A.G., “Reconstruction of structure of dynamical system from time series”, Radiotekhika i electronika, 1994, 39(2), pp. 269-277.
[5] Feigin A.M., Konovalov I.B., and Molkov Y.I. Toward an understanding of the nonlinear nature of atmospheric photochemistry: essential dynamic model of the mesospheric photochemical system. J. Geophys. Research, 1998, V. 103, no. D19, pp. 25447-25460.
[6] Pavlov A.N, Yanson N.B., Anishchenko V.S., “Application of statistical methods for solution of the global reconstruction problem”, Pis’ma v Zh.Tekh.Fiz., 1997, 23(8), p. 7-13.
[7] Anishchenko V.S. and Pavlov A.N. Global reconstruction in application to multichannel communication. Phys.Rev. E, 1998, V. 57, no. 2, pp. 2455-2457.
[8] Kadtke J. Classification of highly noisy signals using global dynamical models, Phys. Lett. A, 1995, V. 203, pp. 196-202. [9] Dmitriev A.S. Panas A.I., “Dynamical chaos (new information carrier for communication systems)”, Moscow, Fizmatlit, 2002.