Complex Dynamics of a Non-Autonomous Oscillator with a Controlled Phase of an External Force


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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.

作者简介

E. Seleznev

Institute of Radioengineering and Electronics (Saratov Branch), Russian Academy of Sciences; Saratov State University

Email: stankevichnv@mail.ru
俄罗斯联邦, Saratov, 410019; Saratov, 410054

N. Stankevich

Institute of Radioengineering and Electronics (Saratov Branch), Russian Academy of Sciences; Yuri Gagarin State Technical University of Saratov; St. Petersburg State University

编辑信件的主要联系方式.
Email: stankevichnv@mail.ru
俄罗斯联邦, Saratov, 410019; Saratov, 410054; St. Petersburg, 199034

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