Two Mechanisms of Chaotization in a Generator with Isolated Inertia Under Quasi-Harmonic Action

The occurrence of chaotic instability of oscillations in a self-oscillating system of a generator with selected inertia in an underexcited mode under a quasi-periodic external action is considered. It is established that in a self-oscillating system, quasi-periodic excitation leads to the occurrence of chaotic oscillations. Two different cases of chaos occurrence are distinguished, differing in the arrangement of frequencies of the quasi-periodic external signal. The first case corresponds to a resonant action, when the frequencies of the quasi-periodic action are near the eigenmode of the system. The second case corresponds to a frequency distance of the quasi-periodic action comparable with the value of the inverse quality factor of the system. It is shown that in the first case, the chaotization of the forced oscillatory mode is associated with a sequence of oscillation trains with an arbitrary initial phase and duration. In the second case, the quasi-periodic action leads to the chaotization of the passive underexcited eigenmode of the system based on the intermittency of the forced oscillatory process.