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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2023 Volume 49, Issue 2, Pages 17–20 (Mi pjtf6894)

Dynamics of coupled quasiperiodic generator and Rössler system

A. P. Kuznetsov, Yu. V. Sedova

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

Abstract: The interaction of a system with quasi-periodic autonomous dynamics and a chaotic system (Rössler system) is considered. The behavior of Lyapunov exponents is studied to identify possible types of system dynamics: chaos with additional zero Lyapunov exponents, three-frequency and two-frequency quasi-periodic regimes, periodic oscillations and the mode of oscillation death.

Keywords: quasi-periodic oscillations, dynamical chaos, Rössler system, Lyapunov exponents.

Received: 24.06.2022
Revised: 24.10.2022
Accepted: 10.11.2022

DOI: 10.21883/PJTF.2023.02.54280.19289



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