Forced synchronization of quasiperiodic oscillations

N. V. Stankevich, J Kurths, A P Kuznetsov

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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 languageEnglish
Pages (from-to)316-323
Number of pages8
JournalCommunications in Nonlinear Science & Numerical Simulation
Volume20
Issue number1
Early online date2 May 2014
DOIs
Publication statusPublished - Jan 2015

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Keywords

  • dynamical systems
  • quasiperiodic oscillations
  • synchronization
  • Lyapunov exponents

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