About generators of dynamic chaos on the basis of the modified Lorentz’s models
- Authors: Zaitsev V.1, Karlov A.1, Nuraev D.2
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Affiliations:
- Самарский университет
- Акционерное общество «Ракетно-космический центр «Прогресс»
- Issue: Vol 19, No 2 (2016)
- Pages: 27-33
- Section: Articles
- URL: https://journals.ssau.ru/pwp/article/view/7146
- ID: 7146
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Abstract
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.
About the authors
V.V. Zaitsev
Самарский университет
Author for correspondence.
Email: zaitsev@samsu.ru
Ar.V. Karlov
Самарский университет
Email: zaitsev@samsu.ru
D.B. Nuraev
Акционерное общество «Ракетно-космический центр «Прогресс»
Email: d.nuraev@mail.ru