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@ARTICLE{Ameli:1035133,
      author       = {Ameli, Sara and Samani, Keivan Aghababaei},
      title        = {{T}wo-step and explosive synchronization in
                      frequency-weighted {K}uramoto model},
      journal      = {Physica / D},
      volume       = {470},
      issn         = {0167-2789},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier},
      reportid     = {FZJ-2025-00222},
      pages        = {134349 -},
      year         = {2024},
      abstract     = {We explore the dynamics of interacting phase oscillators in
                      the generalized Kuramoto model with frequencyweighted
                      couplings, focusing on the interplay of frequency
                      distribution and network topology on the natureof transition
                      to synchrony. We explore the impact of heterogeneity in the
                      network topology and thefrequency distribution. Our analysis
                      includes unimodal (Gaussian, truncated Gaussian, and
                      uniform) andbimodal frequency distributions. For a unimodal
                      Gaussian distribution, we observe that in comparison
                      tofully-connected network, the competition between
                      topological and dynamical hubs hinders the transition
                      tosynchrony in the scale-free network, though explosive
                      synchronization eventually happens. However, in theabsence
                      of very large frequencies, the transition is gradual. While
                      uniform frequency distributions lead toexplosive
                      synchronization. In bimodal distributions, narrow
                      distribution produce a two-step transition. In thiscase,
                      central frequencies dominate the dynamics, overshadowing the
                      topological features of the network. Forwider bimodal
                      distributions, scale-free network exhibits a gradual
                      increase in the order parameter, whereas infully-connected
                      networks a first-order transition happens. These results
                      specifically elucidate the mechanismsdriving two-step and
                      explosive synchronization in frequency-weighted Kuramoto
                      models, offering new insightsinto managing synchronization
                      phenomena in complex networks like power grids, neural
                      systems, and socialsystems.},
      cin          = {PGI-14},
      ddc          = {530},
      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:001324371700001},
      doi          = {10.1016/j.physd.2024.134349},
      url          = {https://juser.fz-juelich.de/record/1035133},
}