@article{32239,
  author       = {{Hunter, I and Norton, MM and Chen, B and Simonetti, C and Moustaka, ME and Touboul, J and Fraden, S}},
  issn         = {{2470-0045}},
  journal      = {{Phys Rev E}},
  number       = {{2-1}},
  pages        = {{024310}},
  title        = {{{Pattern formation in a four-ring reaction-diffusion network with heterogeneity.}}},
  volume       = {{105}},
  year         = {{2022}},
}

@article{19511,
  author       = {{Pukrop, Matthias and Schumacher, Stefan}},
  issn         = {{2470-0045}},
  journal      = {{Physical Review E}},
  keywords     = {{pc2-ressources}},
  title        = {{{Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid}}},
  doi          = {{10.1103/physreve.101.012207}},
  year         = {{2020}},
}

@article{40443,
  author       = {{Pukrop, Matthias and Schumacher, Stefan}},
  issn         = {{2470-0045}},
  journal      = {{Physical Review E}},
  number       = {{1}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid}}},
  doi          = {{10.1103/physreve.101.012207}},
  volume       = {{101}},
  year         = {{2020}},
}

@article{13287,
  author       = {{Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten and Yulin, A. V.}},
  issn         = {{2470-0045}},
  journal      = {{Physical Review E}},
  number       = {{6}},
  title        = {{{Nonlinearity-induced localization in a periodically driven semidiscrete system}}},
  doi          = {{10.1103/physreve.97.062210}},
  volume       = {{97}},
  year         = {{2018}},
}

@article{4368,
  author       = {{Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten and Yulin, A. V.}},
  issn         = {{2470-0045}},
  journal      = {{Physical Review E}},
  number       = {{6}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Nonlinearity-induced localization in a periodically driven semidiscrete system}}},
  doi          = {{10.1103/physreve.97.062210}},
  volume       = {{97}},
  year         = {{2018}},
}

@article{13915,
  abstract     = {{The dynamics of a pair of harmonic oscillators represented by three-dimensional fields coupled with a repulsive cubic nonlinearity is investigated through direct simulations of the respective field equations and with the help of the finite-mode Galerkin approximation (GA), which represents the two interacting fields by a superposition of 
3+3 harmonic-oscillator p-wave eigenfunctions with orbital and magnetic quantum numbers l=1 and m=1, 0, −1. The system can be implemented in binary Bose-Einstein condensates, demonstrating the potential of the atomic condensates to emulate various complex modes predicted by classical field theories. First, the GA very accurately predicts a broadly degenerate set of the system's ground states in the p-wave manifold, in the form of complexes built of a dipole coaxial with another dipole or vortex, as well as complexes built of mutually orthogonal dipoles. Next, pairs of noncoaxial vortices and/or dipoles, including pairs of mutually perpendicular vortices, develop remarkably stable dynamical regimes, which feature periodic exchange of the angular momentum and periodic switching between dipoles and vortices. For a moderately strong nonlinearity, simulations of the coupled-field equations agree very well with results produced by the GA, demonstrating that the dynamics is accurately spanned by the set of six modes limited to l=1.}},
  author       = {{Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten}},
  issn         = {{2470-0045}},
  journal      = {{Physical Review E}},
  number       = {{1}},
  title        = {{{Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators}}},
  doi          = {{10.1103/physreve.94.012207}},
  volume       = {{94}},
  year         = {{2016}},
}