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ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Hidden Oscillations and Bistability in a System of Van Der Pol Oscillator with Passive Load

Author(s):

Artem A. Tuchin

Yuri Gagarin State Technical University of Saratov,
77 Politechnicheskaya street, Saratov, Russia, 410054

artemtych@gmail.com

Anna V. Kuptsova

Candidate of physical and mathematical sciences, docent
Docent
Yuri Gagarin State Technical University of Saratov,
77 Politechnicheskaya street, Saratov, Russia, 410054

anna.kuptsova@gmail.com

Pavel V. Kuptsov

Doctor of physical and mathematical sciences, docent
Chief Researcher
Kotelnikov Institute of Radio-Engineering and Electronics of Russian
Academy of Sciences, Saratov Branch, 38 Zelenaya str., Saratov 410019, Russia
Professor
Yuri Gagarin State Technical University of Saratov,
77 Politechnicheskaya street, Saratov, Russia, 410054

kupav@mail.ru

Abstract:

This study considers a Van der Pol oscillator with a passive load. It is demonstrated that this system can exhibit a hidden attractor in the form of a stable limit cycle. Furthermore, the study identifies and analyses various modes of bistability in this system, including the coexistence of self-excited and hidden limit cycles, as well as bistability of two self-excited limit cycles exhibiting hysteresis behavior.

Keywords

References:

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