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.
|Number of pages||8|
|Journal||Communications in Nonlinear Science & Numerical Simulation|
|Early online date||2 May 2014|
|Publication status||Published - Jan 2015|
- dynamical systems
- quasiperiodic oscillations
- Lyapunov exponents