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Now showing items 1-3 of 3

  • Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators 

    Ashwin, Peter; Burylko, Oleksandr; Maistrenko, Yuri (Elsevier, 2008)
    We study the bifurcation and dynamical behaviour of the system of N globally coupled identical phase oscillators introduced by Hansel, Mato and Meunier, in the cases N=3 and N=4. This model has been found to exhibit robust ...
  • Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators 

    Ashwin, Peter; Burylko, Oleksandr; Maistrenko, Yuri; Popovych, Oleksandr (American Physical Society, 2006)
    We discuss the sensitivity of a population of coupled oscillators to differences in their natural frequencies, i.e., to detuning. We argue that for three or more oscillators, one can get great sensitivity even if the ...
  • Weak chimeras in minimal networks of coupled phase oscillators 

    Ashwin, Peter; Burylko, Oleksandr (American Institute of Physics (AIP), 2015)
    We suggest a definition for a type of chimera state that appears in networks of indistinguishable phase oscillators. Defining a "weak chimera" as a type of invariant set showing partial frequency synchronization, we show ...