Forced synchronization of quasiperiodic oscillations

• Dynamics of generator of quasiperiodic oscillations forced by periodic sequence pulses is considered.
• Small- and large-scale structures for non-autonomous generator were observed.
• Three-frequency quasiperiodic oscillations are demonstrated.
• Arnold resonance web was shown.

A model of a generator of quasiperiodic oscillations forced by a periodic pulse sequence is studied. We analyze synchronization when the autonomous generator demonstrates periodic, quasiperiodic, respective weakly chaotic oscillations. For the forced quasiperiodic oscillations a picture of synchronization, consisting of small-scale and large-scale structures was uncovered. It even includes the existence of stable the three-frequency tori. For the regime of weak chaos a partial destruction of this features and of the regime of three-frequency tori are found.