Abstract
The interaction of a system with quasi-periodic autonomous dynamics and a chaotic system (Rossler 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, Rossler system, Lyapunov exponents.
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