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@ARTICLE{Ebrahimzadeh:909959,
      author       = {Ebrahimzadeh, P. and Schiek, Michael and Maistrenko, Y.},
      title        = {{M}ixed-mode chimera states in pendula networks},
      journal      = {Chaos},
      volume       = {32},
      number       = {10},
      issn         = {1054-1500},
      address      = {Woodbury, NY},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2022-03549},
      pages        = {103118 -},
      year         = {2022},
      abstract     = {We report the emergence of peculiar chimera states in
                      networks of identical pendula with global phase-lagged
                      coupling. The states reported include both rotating and
                      quiescent modes, i.e., with non-zero and zero average
                      frequencies. This kind of mixed-mode chimeras may be
                      interpreted as images of bump states known in neuroscience
                      in the context of modeling the working memory. We illustrate
                      this striking phenomenon for a network of 𝑁=100 coupled
                      pendula, followed by a detailed description of the minimal
                      non-trivial case of 𝑁=3. Parameter regions for five
                      characteristic types of the system behavior are identified,
                      which consist of two mixed-mode chimeras with one and two
                      rotating pendula, classical weak chimera with all three
                      pendula rotating, synchronous rotation, and quiescent state.
                      The network dynamics is multistable: up to four of the
                      states can coexist in the system phase state as demonstrated
                      through the basins of attraction. The analysis suggests that
                      the robust mixed-mode chimera states can generically
                      describe the complex dynamics of diverse pendula-like
                      systems widespread in nature.Chimera states generally refer
                      to spatiotemporal patterns in networks of identical or close
                      to identical oscillators, in which a group of oscillators is
                      synchronized and the other group is asynchronous. For
                      networks composed of Kuramoto oscillators with inertia,
                      chimera states are manifested in the form of solitary states
                      in which one or a few oscillators split off from the main
                      synchronized cluster and start to rotate with a different
                      average frequency. Chimeras of this kind include rotational
                      modes, and their frequencies are determined by the system
                      parameters. In networks of excitable elements, such as
                      neurons, in contrary, chimeric spatiotemporal patterns
                      typically arise in the form of bump states, where active
                      spiking neurons (large amplitude) coexist with quiescent
                      (subthreshold) ones. The bump states are created due to the
                      competition mechanism between attractive and repulsive
                      couplings, which suppresses the quiescent group. Then, the
                      pendulum network can be viewed as a model bringing together
                      the properties of the Kuramoto oscillators with inertia and
                      the excitable theta neuron model, for which we show the
                      emergence of mixed-mode chimeras with non-zero and zero
                      average frequencies of individual oscillators from different
                      groups.},
      cin          = {ZEA-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)ZEA-2-20090406},
      pnm          = {5234 - Emerging NC Architectures (POF4-523) / ACA -
                      Advanced Computing Architectures (SO-092)},
      pid          = {G:(DE-HGF)POF4-5234 / G:(DE-HGF)SO-092},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {36319296},
      UT           = {WOS:000877944800008},
      doi          = {10.1063/5.0103071},
      url          = {https://juser.fz-juelich.de/record/909959},
}