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@ARTICLE{Krachkovskyi:52489,
      author       = {Krachkovskyi, V. and Popovych, O. V. and Tass, P. A.},
      title        = {{S}timulus-locked responses of two phase oscillators
                      coupled with delayed feedback},
      journal      = {Physical review / E},
      volume       = {73},
      number       = {6},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-52489},
      pages        = {066220},
      year         = {2006},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {For a system of two phase oscillators coupled with delayed
                      self-feedback we study the impact of pulsatile stimulation
                      administered to both oscillators. This system models the
                      dynamics of two coupled phase-locked loops (PLLs) with a
                      finite internal delay within each loop. The delayed
                      self-feedback leads to a rich variety of dynamical regimes,
                      ranging from phase-locked and periodically modulated
                      synchronized states to chaotic phase synchronization and
                      desynchronization. Remarkably, for large coupling strength
                      the two PLLs are completely desynchronized. We study
                      stimulus-locked responses emerging in the different
                      dynamical regimes. Simple phase resets may be followed by a
                      response clustering, which is intimately connected with long
                      poststimulus resynchronization. Intriguingly, a maximal
                      perturbation (i.e., maximal response clustering and maximal
                      resynchronization time) occurs, if the system gets trapped
                      at a stable manifold of an unstable saddle fixed point due
                      to appropriately calibrated stimulus. Also, single stimuli
                      with suitable parameters can shift the system from a stable
                      synchronized state to a stable desynchronized state or vice
                      versa. Our result show that appropriately calibrated single
                      pulse stimuli may cause pronounced transient and/or
                      long-lasting changes of the oscillators' dynamics. Pulse
                      stimulation may, hence, constitute an effective approach for
                      the control of coupled oscillators, which might be relevant
                      to both physical and medical applications.},
      keywords     = {J (WoSType)},
      cin          = {IME},
      ddc          = {530},
      cid          = {I:(DE-Juel1)VDB54},
      pnm          = {Funktion und Dysfunktion des Nervensystems},
      pid          = {G:(DE-Juel1)FUEK409},
      shelfmark    = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000238694200070},
      doi          = {10.1103/PhysRevE.73.066220},
      url          = {https://juser.fz-juelich.de/record/52489},
}