Chaotic oscillation generator
https://doi.org/10.25206/1813-8225-2024-191-93-98
EDN: FMJPHL
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.
About the Authors
V. V. Fedyanin
Omsk State Technical University
Russian Federation
Russian Federation
Fedyanin Viktor Viktorovich - Candidate of Technical Sciences, Associate Professor of Electrical Engineering Department, OmSTU, SPIN-code: 1728-1697. AuthorID (SCOPUS): 57194235343. ResearcherID: O-9899-2015.
Omsk
V. K. Fedorov
Omsk State Technical University
Russian Federation
Russian Federation
Fedorov Vladimir Kuzmich - Doctor of Technical Sciences, Professor, Professor of Electrical Supply of Industrial Enterprises Department, OmSTU, SPIN-code: 2389-6978. AuthorID (RSCI): 512746. AuthorID (SCOPUS): 57194237212.
Omsk
I. E. Pestrikova
Omsk State Technical University
Russian Federation
Russian Federation
Pestrikova Irina Evgenyevna - Assistant of Electrical Engineering Department, OmSTU, SPIN-code: 7948-8208. AuthorID (RSCI): 622404.
Omsk
References
1. Kuznetsov S. P. Prostyye elektronnyye generatory khaosa i ikh skhemotekhnicheskoye modelirovaniye [Simple electronic chaos generators and their circuit simulation] // Izvestiya vysshikh uchebnykh zavedeniy. Prikladnaya nelineynaya dinamika. Izvestiya VUZ. Applied Nonlinear Dynamics. 2018. Vol. 26, no. 3. P. 35–61. DOI: 10.18500/0869-6632-2018-26-3-35-61. EDN: RWBUFH. (In Russ.).
2. Lorenz E. N. Deterministic nonperiodic Flow // Journal of the Atmospheric Sciences. 1963. Vol. 20. P. 130–141. DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2. (In Engl.).
3. Colpitts E. H. Oscillation generator. US patent 1624537; filed February 01st, 1918; published April 12th, 1927. (In Engl.).
4. Anishchenko V. S., Astakhov V. S., Vadivasova T. E. Generator Anishchenko-Astakhova kak odna iz bazovykh modeley determinirovannogo khaosa [Anishchenko-Astakhov generator as one of the basic models of deterministic chaos] // Izvestiya Saratovskogo universiteta. Novaya seriya. Seriya: Fizika. Izvestiya of Saratov University. Physics. 2005. Vol. 5, no. 1. P. 54–68. EDN: JVHXIV. (In Russ.).
5. Balth Van der Pol. On relaxation-oscillations // Philosophical Magazine and Journal of Science. 1926. Vol. 2 (11). P. 978–992. DOI: 10.1080/14786442608564127. (In Engl.).
6. Hartley R. V. L. Oscillation-generator. US patent 1356763; filed June 01st, 1915; published October 26th, 1920. (In Engl.).
7. Chua L. O., Komuro M., Matsumoto T. The double scroll family // IEEE Transactions on Circuits & Systems. 1986. Vol. 33 (11). P. 1072–1118. DOI: 10.1109/TCS.1986.1085869. (In Engl.).
8. Fedyanin V. V., Fedorov V. K., Pestrikova I. E. [et al.]. Programma realizatsii generatora khaosa na komparatore: svidetel’stvo o gosudarstvennoy registratsii programmy dlya EVM [Program of realization of the chaos generator on the comparator: certificate of state registration of the computer program]. Moscow, 2024. No. 2024615852. (In Russ.).
9. Anoshenkova E. V., Zakharov I. L., Pestrikova I. E. Modelirovaniye besporyadochnykh protsessov v nelineynykh elektronnykh tsepyakh s neskol’kimi generatorami [Modeling of chaotic processes in nonlinear electronic circuits with multiple generators] // Omskiy nauchnyy vestnik. Omsk Scientific Bulletin. 2016. No. 6 (150). P. 105–108. EDN: XBVXQZ. (In Russ.).
10. Fedyanin V. V., Fedorov V. K., Fedorov D. V. [et al.]. Trekhfaznyye rezhimy chastotno-reguliruyemogo asinkhronnogo elektroprivoda pri shirotno-impul’snoy modulyatsii s nesushchey chastotoy v rezhime determinirovannogo khaosa [Three-phase modes of frequency-controlled asynchronous electric drive under pulse-width modulation with carrier frequency in the deterministic chaos mode] // Dinamika sistem, mekhanizmov i mashin. Dynamics of Systems, Mechanisms and Machines. 2018. Vol. 6, no. 3. P. 114–119. DOI: 10.25206/2310-9793-2018-6-3-114-119. (In Russ.).
11. Fedorov V. K., Pestrikova I. E., Fedorov I. V. [et al.]. Maksimal’naya entropiya i printsip naimen’shego deystviya dlya elektrotekhnicheskikh sistem v rezhime determinirovannogo khaosa [Maximum entropy and the principle of least action for electrical systems in the mode of deterministic chaos] // Izmereniye. Monitoring. Upravleniye. Kontrol’. Measuring. Monitoring. Management. Control. 2021. No. 2 (36). P. 5–14. DOI: 10.21685/2307-5538-2021-2-1. (In Russ.).
Review
For citations:
Fedyanin V.V., Fedorov V.K., Pestrikova I.E. Chaotic oscillation generator. Omsk Scientific Bulletin. 2024;(3):93-98. (In Russ.) https://doi.org/10.25206/1813-8225-2024-191-93-98. EDN: FMJPHL
Views:
10
JATS XML
Email this article 