Coupled chaotic generator and multi-frequency quasi-periodic system

The interaction of the system with chaos (Kislov–Dmitriev generator) and multi-frequency quasi-periodic oscillations (ensemble of van der Pol generators) is considered. Bifurcations of doubling of a high-dimensional invariant torus and the emergence of chaos upon its destruction are revealed. A cascade of specific bifurcations of a chaotic attractor has been discovered, corresponding to the appearance of a different number of additional zero Lyapunov exponents. The stability of the Landau-Hopf scenario during interaction with a chaotic subsystem is shown.