Email this article Complex Dynamics of a Non-Autonomous Oscillator with a Controlled Phase of an External Force
- Authors: Seleznev E.P.1,2, Stankevich N.V.1,3,4
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Affiliations:
- Institute of Radioengineering and Electronics (Saratov Branch), Russian Academy of Sciences
- Saratov State University
- Yuri Gagarin State Technical University of Saratov
- St. Petersburg State University
- Issue: Vol 45, No 1 (2019)
- Pages: 57-60
- Section: Article
- URL: https://bakhtiniada.ru/1063-7850/article/view/208192
- DOI: https://doi.org/10.1134/S1063785019010334
- ID: 208192
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Abstract
The dynamics of a non-autonomous oscillator in which the phase of external force linearly depends on a dynamic variable has been investigated. This control of the external-drive phase leads to the formation of a hierarchy of various periodic and chaotic oscillations. The structure of the space of control parameters has been studied. It is established that dynamics of the system exhibits oscillatory regimes analogous to those of a non-autonomous oscillator with potential in the form of a periodic function.
About the authors
E. P. Seleznev
Institute of Radioengineering and Electronics (Saratov Branch), Russian Academy of Sciences; Saratov State University
Email: stankevichnv@mail.ru
Russian Federation, Saratov, 410019; Saratov, 410054
N. V. Stankevich
Institute of Radioengineering and Electronics (Saratov Branch), Russian Academy of Sciences; Yuri Gagarin State Technical University of Saratov; St. Petersburg State University
Author for correspondence.
Email: stankevichnv@mail.ru
Russian Federation, Saratov, 410019; Saratov, 410054; St. Petersburg, 199034
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