@article{59171,
  abstract     = {{To model dynamical systems on networks with higher-order (non-pairwise) interactions, we recently introduced a new class of ordinary differential equations (ODEs) on hypernetworks. Here, we consider one-parameter synchrony breaking bifurcations in such ODEs. We call a synchrony breaking steady-state branch ‘reluctant’ if it is tangent to a synchrony space, but does not lie inside it. We prove that reluctant synchrony breaking is ubiquitous in hypernetwork systems, by constructing a large class of examples that support it. We also give an explicit formula for the order of tangency to the synchrony space of a reluctant steady-state branch.}},
  author       = {{von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}},
  issn         = {{1364-5021}},
  journal      = {{Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}},
  keywords     = {{higher-order interactions, synchrony breaking, network dynamics, coupled cell systems}},
  number       = {{2301}},
  publisher    = {{The Royal Society}},
  title        = {{{Higher-order interactions lead to ‘reluctant’ synchrony breaking}}},
  doi          = {{10.1098/rspa.2023.0945}},
  volume       = {{480}},
  year         = {{2024}},
}

@article{16498,
  author       = {{Aston, P. J. and Dellnitz, M.}},
  issn         = {{1364-5021}},
  journal      = {{Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}},
  pages        = {{2933--2955}},
  title        = {{{Computation of the dominant Lyapunov exponent via spatial integration using matrix norms}}},
  doi          = {{10.1098/rspa.2003.1143}},
  year         = {{2003}},
}