Abstract
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.
Original language | English |
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Pages (from-to) | 316-323 |
Number of pages | 8 |
Journal | Communications in Nonlinear Science & Numerical Simulation |
Volume | 20 |
Issue number | 1 |
Early online date | 2 May 2014 |
DOIs | |
Publication status | Published - Jan 2015 |
Keywords
- dynamical systems
- quasiperiodic oscillations
- synchronization
- Lyapunov exponents