Dynamics of coupled quasiperiodic generator and Rössler system

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.