@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}
}
@article{IsaevaKuznetsovSataev2012,
  author    = {Isaeva, Olga B. and Kuznetsov, Sergey P. and Sataev, Igor R.},
  title     = {A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid},
  series = {Chaos : an interdisciplinary journal of nonlinear science},
  volume    = {22},
  journal   = {Chaos : an interdisciplinary journal of nonlinear science},
  number    = {4},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {1054-1500},
  doi       = {10.1063/1.4766590},
  pages     = {7},
  year      = {2012},
  abstract  = {Formation or destruction of hyperbolic chaotic attractor under parameter variation is considered with an example represented by Smale-Williams solenoid in stroboscopic Poincare map of two alternately excited non-autonomous van der Pol oscillators. The transition occupies a narrow but finite parameter interval and progresses in such way that periodic orbits constituting a "skeleton" of the attractor undergo saddle-node bifurcation events involving partner orbits from the attractor and from a non-attracting invariant set, which forms together with its stable manifold a basin boundary of the attractor.},
  language  = {en}
}