@article{IsaevaKuznetsovKuznetsov2013,
  author    = {Isaeva, Olga B. and Kuznetsov, Alexey S. and Kuznetsov, Sergey P.},
  title     = {Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {87},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  number    = {4},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {1539-3755},
  doi       = {10.1103/PhysRevE.87.040901},
  pages     = {4},
  year      = {2013},
  abstract  = {We outline a possibility of hyperbolic chaotic dynamics associated with the expanding circle map for spatial phases of parametrically excited standing wave patterns. The model system is governed by a one-dimensional wave equation with nonlinear dissipation. The phenomenon arises due to the pump modulation providing the alternating excitation of modes with the ratio of characteristic scales 1 : 3. DOI: 10.1103/PhysRevE.87.040901},
  language  = {en}
}