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@ARTICLE{Perlikowski:14629,
      author       = {Perlikowski, P. and Yanchuk, S. and Popovych, O. V. and
                      Tass, P.A.},
      title        = {{P}eriodic patterns in a ring of delay-coupled
                      oscillators.},
      journal      = {Physical review / E},
      volume       = {82},
      number       = {3},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-14629},
      pages        = {036208},
      year         = {2010},
      note         = {P.P. and S.Y. acknowledge the support of DFG Research
                      Center Matheon "Mathematics for key technologies" under
                      Project No. D21. P.P. acknowledges the support of Department
                      of International Cooperation of Poland under Project No.
                      DWM/N97/DAAD/2008 and from Foundation for Polish Science
                      (the START Foundation)},
      abstract     = {We describe the appearance and stability of spatiotemporal
                      periodic patterns (rotating waves) in unidirectional rings
                      of coupled oscillators with delayed couplings. We show how
                      delays in the coupling lead to the splitting of each
                      rotating wave into several new ones. The appearance of
                      rotating waves is mediated by the Hopf bifurcations of the
                      symmetric equilibrium. We also conclude that the coupling
                      delays can be effectively replaced by increasing the number
                      of oscillators in the chain. The phenomena are shown for the
                      Stuart-Landau oscillators as well as for the coupled
                      FitzHugh-Nagumo systems modeling an ensemble of spiking
                      neurons interacting via excitatory chemical synapses.},
      keywords     = {J (WoSType)},
      cin          = {INM-7},
      ddc          = {530},
      cid          = {I:(DE-Juel1)INM-7-20090406},
      pnm          = {Funktion und Dysfunktion des Nervensystems (FUEK409) /
                      89574 - Theory, modelling and simulation (POF2-89574)},
      pid          = {G:(DE-Juel1)FUEK409 / G:(DE-HGF)POF2-89574},
      shelfmark    = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000282052700002},
      doi          = {10.1103/PhysRevE.82.036208},
      url          = {https://juser.fz-juelich.de/record/14629},
}