@article{FeudelFeudel2021,
  author    = {Feudel, Fred and Feudel, Ulrike},
  title     = {Bifurcations in rotating spherical shell convection under the influence of differential rotation},
  series = {Chaos : an interdisciplinary journal of nonlinear science},
  volume    = {31},
  journal   = {Chaos : an interdisciplinary journal of nonlinear science},
  number    = {11},
  publisher = {AIP},
  address   = {Melville},
  issn      = {1054-1500},
  doi       = {10.1063/5.0063113},
  pages     = {9},
  year      = {2021},
  abstract  = {The bifurcations of thermal convection in a rotating spherical shell heated from the inner sphere and driven by the buoyancy of a central gravity field are studied numerically. This model of spherical Rayleigh-Benard convection describes large-scale convection in planets and in the outer zones of celestial bodies. In this work, the influence of an additionally imposed differential rotation of the inner sphere with respect to the outer one on the heat transfer and, more generally, on the whole bifurcation structure is investigated. In addition to numerical simulations, path-following techniques are applied in order to compute both stable and unstable solution branches. The dynamics and the heat transfer are essentially determined by a global bifurcation, which we have identified as a homoclinic bifurcation that consists of a collision of a stable modulated rotating with an unstable rotating wave.},
  language  = {en}
}
@article{BubeNetoDonneretal.2006,
  author    = {Bube, Kevin and Neto, Camilo Rodrigues and Donner, Reik Volker and Schwarz, Udo and Feudel, Ulrike},
  title     = {Linear and nonlinear characterization of surfaces from a laser beam melt ablation process},
  issn      = {0022-3727},
  doi       = {10.1088/0022-3727/39/7/011},
  year      = {2006},
  abstract  = {We apply linear and nonlinear methods to study the properties of surfaces generated by a laser beam melt ablation process. As a result we present a characterization and ordering of the surfaces depending on the adjusted process parameters. Our findings give some insight into the performance of two widely applied multifractal analysis methods-the detrended fluctuation analysis and the wavelet transform modulus maxima method-on short real world data},
  language  = {en}
}
@article{FeudelJansenKurthsetal.1997,
  author    = {Feudel, Ulrike and Jansen, Wolfgang and Kurths, J{\"u}rgen and Schwarz, Udo and Voss, Henning U.},
  title     = {Solar variability : simple models and proxy data},
  isbn      = {4-274-90187-4},
  year      = {1997},
  language  = {en}
}
@article{KuznetsovPikovskijBezruckoetal.1997,
  author    = {Kuznetsov, Sergey P. and Pikovskij, Arkadij and Bezrucko, B. P. and Seleznev, E. P. and Feudel, Ulrike},
  title     = {O dinamike nelinejnych sistem po vne¬nim kvaziperiodi\Seskim vozdejstviem vblizi to\Ski okon\Sanija linii bifurkatcii udvoenija tora},
  year      = {1997},
  language  = {de}
}
@article{WittFeudelPikovskij1997,
  author    = {Witt, Annette and Feudel, Ulrike and Pikovskij, Arkadij},
  title     = {Birth of strange nonchaotic attractors due to interior crisis},
  year      = {1997},
  language  = {en}
}
@article{FeudelGrebogiOtt1997,
  author    = {Feudel, Ulrike and Grebogi, Celso and Ott, E.},
  title     = {Phase-locking in quasiperiodically forced systems},
  year      = {1997},
  language  = {en}
}
@article{FeudelGrebogi1997,
  author    = {Feudel, Ulrike and Grebogi, Celso},
  title     = {Multistability and the control of complexity},
  issn      = {1054-1500},
  year      = {1997},
  language  = {en}
}
@article{LaiGrebogiFeudeletal.1998,
  author    = {Lai, Ying Cheng and Grebogi, Celso and Feudel, Ulrike and Witt, Annette},
  title     = {Basin bifurcation in quasiperiodically forced systems},
  year      = {1998},
  language  = {en}
}
@article{PoonGrebogiFeudeletal.1998,
  author    = {Poon, L. and Grebogi, Celso and Feudel, Ulrike and Yorke, J. A.},
  title     = {Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors},
  year      = {1998},
  language  = {en}
}
@article{KuznetsovFeudelPikovskij1998,
  author    = {Kuznetsov, Sergey P. and Feudel, Ulrike and Pikovskij, Arkadij},
  title     = {Renormalization group for scaling at the torus-doubling terminal point},
  year      = {1998},
  abstract  = {The quasiperiodically forced logistic map is analyzed at the terminal point of the torus-doubling bifurcation curve, where the dynamical regimes of torus, doubled torus, strange nonchaotic attractor, and chaos meet. Using the renormalization group approach we reveal scaling properties both for the critical attractor and for the parameter plane topography near the critical point.},
  language  = {en}
}