Український математичний конгрес - 2009

Андрей Свинаренко (Одесский государственный экологический университет, Одесса, Украина)

Modeling and diagnostics of interaction of the non-linear vibrational systems on the basis of temporal series(application to semiconductor quantum generators)

It is studied an employing a variety of techniques for characterizing the dynamics of the coupled semiconductor quantum generators and identifying the presence of chaotic dynamics in this time (frequency) series. The statistical techniques used are the autocorrelation function and the Fourier power spectrum, whereas the mutual information approach, correlation integral analysis, false nearest neighbour algorithm, Lyapunov exponents analysis, and surrogate data method are used for comprehensive characterization [1,2].

1. Glushkov A.V., Rusov V.N., et al, Advances in Space Research.-2008.-Vol.42,N9.-P.1614-1617; Glushkov A.V., Khokhlov V.N., et al, Atmospheric Environment (Elsevier).-2008.-Vol.42.-P. 7284–7292; Nonlinear Processes in Geophysics.-2004.-V.11,N3.-P.285-293.
2. Svinarenko A.A., Loboda A.V., Photoelectronics.-2009.-Vol.18.-P.31-40.