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@ARTICLE{Ameli:910702,
      author       = {Ameli, Sara and Samani, Keivan Aghababaei},
      title        = {{L}ow-dimensional behavior of generalized {K}uramoto model},
      journal      = {Nonlinear dynamics},
      volume       = {110},
      issn         = {0924-090X},
      address      = {Dordrecht [u.a.]},
      publisher    = {Springer Science + Business Media B.V},
      reportid     = {FZJ-2022-04074},
      pages        = {2781-2791},
      year         = {2022},
      abstract     = {We study the global bifurcation of a generalization of the
                      Kuramoto model in the fully connected network in which the
                      connections are weighted by the frequency of the
                      oscillators. By driving the low dimensional manifold of this
                      infinite-dimensional dynamical system, we obtain bifurcation
                      boundaries for different types of transitions to the
                      synchronized state. Using this analytic framework, we obtain
                      the characteristic flow field of the system for each
                      dynamical region in parameter space. To check the effect of
                      nonzero-centered frequency distribution, we consider bimodal
                      Lorentzian distribution as an example. In this case, the
                      system shows three types of transitions to the synchronized
                      state, depending on the parameters of the frequency
                      distribution: (1) a two-step transition with Bellerophon
                      state, (2) a continuous transition, as in the classical
                      Kuramoto model, and (3) a first-order, explosive, transition
                      with hysteresis.},
      cin          = {PGI-14},
      ddc          = {510},
      cid          = {I:(DE-Juel1)PGI-14-20210412},
      pnm          = {5234 - Emerging NC Architectures (POF4-523)},
      pid          = {G:(DE-HGF)POF4-5234},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000847150300002},
      doi          = {10.1007/s11071-022-07703-0},
      url          = {https://juser.fz-juelich.de/record/910702},
}