Email this article The existence of chaotic regimes of the fractional analogue of the Duffing-type oscillator
- Authors: Parovik R.I.1,2
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Affiliations:
- Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences
- Kamchatka State University named after Vitus Bering
- Issue: Vol 23, No 2 (2019)
- Pages: 378-393
- Section: Articles
- URL: https://ogarev-online.ru/1991-8615/article/view/20634
- DOI: https://doi.org/10.14498/vsgtu1678
- ID: 20634
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Abstract
In this paper, we study the chaotic regimes of the fractional Duffing oscillator. To do this, using the Wolf algorithm with Gram-Schmidt orthogonalization, we calculated the spectra of maximum Lyapunov exponents depending on the values of the control parameters, on the basis of which bifurcation diagrams were constructed. Bifurcation diagrams made it possible to determine areas in which a chaotic oscillatory regime exists. Phase trajectories were also constructed, which confirmed the research results.
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##article.viewOnOriginalSite##About the authors
Roman Ivanovich Parovik
Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences; Kamchatka State University named after Vitus Bering
Email: romano84@mail.ru
Candidate of physico-mathematical sciences, Associate professor 7, Mirnaya st., Paratunka, Kamchatkiy kray, 684034, Russian Federation; 4, Pogranichnaya st., Petropavlovsk-Kamchatskiy, 683032, Russian Federation
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