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ON THE GENERALIZATION OF THE LORENTZ SYSTEM AND ESTIMATES OF THE AREA OF ITS DISSIPATIVITY

Bulekbayev D. A.  (doctor. Associate Professor, Head of the Mathematics Department of the Mozhaisky Military Space Academy, Saint Petersburg )

Morozov A. V.  (PhD, professor, department of Mathematics Federal state military educational institution of higher professional education "Military space Academy named after A. F. Mozhaisky», Saint-Petersburg)

A finite–dimensional (discrete) model is considered - a system of differential equations describing the generation of radiation in a quantum generator. It is assumed that two lines of the active substance radiate within the same resonator mode. Estimates of the dissipation range of the system are obtained. At the same time, the second Lyapunov method, the techniques of N.G. Chetaev and G.A. Leonov were used.

Keywords:generalized Lorentz system, four-dimensional phase space, dissipativity domain

 

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Citation link:
Bulekbayev D. A., Morozov A. V. ON THE GENERALIZATION OF THE LORENTZ SYSTEM AND ESTIMATES OF THE AREA OF ITS DISSIPATIVITY // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2024. -№07. -С. 64-66 DOI 10.37882/2223-2966.2024.7.10
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