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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2022 Volume 48, Issue 24, Pages 19–22 (Mi pjtf7465)

Different modes of three coupled generators capable of demonstrating quasiperiodic oscillations

A. P. Kuznetsov, Yu. V. Sedova, N. V. Stankevich

Saratov Branch, Kotel'nikov Institute of Radio-Engineering and Electronics, Russian Academy of Sciences, Saratov, Russia

Abstract: The dynamics of three coupled generators capable of demonstrating autonomous quasiperiodic oscillations is considered. The complex structure of Lyapunov charts of the system revealing invariant tori of different (high) dimensions, quasiperiodic bifurcations, Arnold resonance web, and other features is discussed. There was revealed the possibility of four-frequency tori in case of individual subsystems that exhibit the limit cycle mode.

Keywords: generator, quasi-periodic oscillations, invariant tori, Lyapunov exponents.

Received: 05.07.2022
Revised: 17.10.2022
Accepted: 23.10.2022

DOI: 10.21883/PJTF.2022.24.54018.19296



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