@article{DolmatovaGoldobinPikovskij2017,
  author    = {Dolmatova, Anastasiya V. and Goldobin, Denis S. and Pikovskij, Arkadij},
  title     = {Synchronization of coupled active rotators by common noise},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {96},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {2470-0045},
  doi       = {10.1103/PhysRevE.96.062204},
  pages     = {E10648 -- E10657},
  year      = {2017},
  abstract  = {We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). We develop an analytical approach based on a transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe a transition from full to partial synchrony at a critical value of repulsive coupling. For nonidentical rotators, the most nontrivial effect occurs at moderate repulsive coupling, where a juxtaposition of phase locking with frequency repulsion (anti-entrainment) is observed. We show that the frequency repulsion obeys a nontrivial power law.},
  language  = {en}
}