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@ARTICLE{RydinGorjo:874537,
      author       = {Rydin Gorjão, Leonardo and Saha, Arindam and Ansmann,
                      Gerrit and Feudel, Ulrike and Lehnertz, Klaus},
      title        = {{C}omplexity and irreducibility of dynamics on networks of
                      networks},
      journal      = {Chaos},
      volume       = {28},
      number       = {10},
      issn         = {1089-7682},
      address      = {Woodbury, NY},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2020-01493},
      pages        = {106306 -},
      year         = {2018},
      abstract     = {We study numerically the dynamics of a network of
                      all-to-all-coupled, identical sub-networks consisting of
                      diffusively coupled, non-identical FitzHugh–Nagumo
                      oscillators. For a large range of within- and
                      between-network couplings, the network exhibits a variety of
                      dynamical behaviors, previously described for single,
                      uncoupled networks. We identify a region in parameter space
                      in which the interplay of within- and between-network
                      couplings allows for a richer dynamical behavior than can be
                      observed for a single sub-network. Adjoining this atypical
                      region, our network of networks exhibits transitions to
                      multistability. We elucidate bifurcations governing the
                      transitions between the various dynamics when crossing this
                      region and discuss how varying the couplings affects the
                      effective structure of our network of networks. Our findings
                      indicate that reducing a network of networks to a single
                      (but bigger) network might not be accurate enough to
                      properly understand the complexity of its dynamics.Many
                      natural systems ranging from ecology to the neurosciences
                      can be described as networks of networks. An example is
                      interacting patches of neural tissue, where each patch
                      constitutes a sub-network. In such a configuration and other
                      models, the sub-networks are often assumed to be identical
                      but consisting of non-identical units. A question arising
                      for such networks of networks is as to what extent their
                      dynamics can be reduced to a more simple network by
                      aggregating parts of the network. We here explore this
                      question by investigating numerically the dynamics of a
                      network of all-to-all-coupled, identical networks consisting
                      of diffusively coupled, non-identical excitable
                      FitzHugh–Nagumo oscillators. Intriguingly, we identify a
                      small region of the parameter space spanned by the within-
                      and between-network coupling strength that allows for a
                      richer dynamical behavior than what can be observed for a
                      single sub-network.},
      cin          = {IEK-STE},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-STE-20101013},
      pnm          = {153 - Assessment of Energy Systems – Addressing Issues of
                      Energy Efficiency and Energy Security (POF3-153)},
      pid          = {G:(DE-HGF)POF3-153},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:30384647},
      UT           = {WOS:000448974600034},
      doi          = {10.1063/1.5039483},
      url          = {https://juser.fz-juelich.de/record/874537},
}