About generators of dynamic chaos on the basis of the modified Lorentz’s models
A mathematical model of self-oscillating system - modified Lorentz oscillator obtained by converting a standard Lorenz system is presented. It is shown that in the modified Lorentz oscillator are implemented regimes both regular and chaotic self-oscillations. A discrete model of self-oscillator with...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Povolzhskiy State University of Telecommunications & Informatics
2016-02-01
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Series: | Физика волновых процессов и радиотехнические системы |
Subjects: | |
Online Access: | https://journals.ssau.ru/pwp/article/viewFile/7146/7008 |
Summary: | A mathematical model of self-oscillating system - modified Lorentz oscillator obtained by converting a standard Lorenz system is presented. It is shown that in the modified Lorentz oscillator are implemented regimes both regular and chaotic self-oscillations. A discrete model of self-oscillator with an inertial nonlinearity is obtained. The stability of the equilibrium states of the system is investigated. Graphics of amplitude spectra of chaotic and regular self-oscillation are presented. |
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ISSN: | 1810-3189 2782-294X |