@article{Pikovskij2021,
  author    = {Pikovskij, Arkadij},
  title     = {Chimeras on a social-type network},
  series = {Mathematical modelling of natural phenomena : MMNP},
  volume    = {16},
  journal   = {Mathematical modelling of natural phenomena : MMNP},
  publisher = {EDP Sciences},
  address   = {Les Ulis},
  issn      = {0973-5348},
  doi       = {10.1051/mmnp/2021012},
  pages     = {9},
  year      = {2021},
  abstract  = {We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that the passive elements are strongly correlated. This is explained by negative transversal Lyapunov exponents.},
  language  = {en}
}