About generators of dynamic chaos on the basis of the modified Lorentz’s models


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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

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Copyright (c) 2016 Zaitsev V., Karlov A., Nuraev D.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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