Chaotic oscillation generator

Authors

  • Fedyanin Viktor Viktorovich Omsk State Technical University, Omsk, Russia https://orcid.org/0000-0003-3126-9865
  • Fedorov Vladimir Kuzmich Omsk State Technical University, Omsk, Russia
  • Pestrikova Irina Evgenyevna Omsk State Technical University, Omsk, Russia

DOI:

https://doi.org/10.25206/1813-8225-2024-191-93-98

Keywords:

chaos, chaos generators, chaotic oscillations, attractor, dynamic system, differential equations, phase portrait

Abstract

The article analyzes existing schemes of chaos generators. Numerical and simulation modeling is carried out aimed at identifying chaotic dynamics. Based on wellknown concepts, a chaos generator is developed and a simulation model is built. A mathematical description of the generator is given and phase portraits are obtained. Diagrams of chaotic oscillations of the Lorentz model and the Colpitts model are presented. The operation of the Van der Pol generator is considered and the chaotic processes that arise during external harmonic oscillations are shown. Chua's model is presented, its mathematical description is given, and an analysis of oscillations in the deterministic chaos regime is presented.

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Author Biographies

Fedyanin Viktor Viktorovich, Omsk State Technical University, Omsk, Russia

Candidate of Technical Sciences, Associate Professor of Electrical Engineering Department, Omsk State Technical University (OmSTU), Omsk.

Fedorov Vladimir Kuzmich, Omsk State Technical University, Omsk, Russia

Doctor of Technical Sciences, Professor, Professor of Electrical Supply of Industrial Enterprises Department, OmSTU, Omsk.

Pestrikova Irina Evgenyevna, Omsk State Technical University, Omsk, Russia

Assistant of Electrical Engineering Department, OmSTU, Omsk.

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Abstract views: 21

Published

2024-09-30

How to Cite

[1]
Fedyanin В.В., Fedorov В.К. and Pestrikova И.Е. 2024. Chaotic oscillation generator. Omsk Scientific Bulletin. 3(191) (Sep. 2024), 93–98. DOI:https://doi.org/10.25206/1813-8225-2024-191-93-98.

Issue

No. 3(191) (2024)

Section

Energy and Electrical Engineering

License

Non-exclusive rights to the article are transferred to the journal in full accordance with the Creative Commons License BY-NC-SA 4.0 «Attribution-NonCommercial-ShareAlike 4.0 Worldwide License (CC BY-NC-SA 4.0»)

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