This article is cited in 1 paper

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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