TY  - JOUR
A1  - Feudel, Fred
A1  - Feudel, Ulrike
T1  - Bifurcations in rotating spherical shell convection under the influence of differential rotation
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - 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.
Y1  - 2021
U6  - https://doi.org/10.1063/5.0063113
SN  - 1054-1500
SN  - 1089-7682
VL  - 31
IS  - 11
PB  - AIP
CY  - Melville
ER  - 
TY  - JOUR
A1  - Bube, Kevin
A1  - Neto, Camilo Rodrigues
A1  - Donner, Reik Volker
A1  - Schwarz, Udo
A1  - Feudel, Ulrike
T1  - Linear and nonlinear characterization of surfaces from a laser beam melt ablation process
N2  - 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
Y1  - 2006
UR  - http://iopscience.iop.org/0022-3727/
U6  - https://doi.org/10.1088/0022-3727/39/7/011
SN  - 0022-3727
ER  - 
TY  - JOUR
A1  - Feudel, Ulrike
A1  - Jansen, Wolfgang
A1  - Kurths, Jürgen
A1  - Schwarz, Udo
A1  - Voss, Henning U.
T1  - Solar variability : simple models and proxy data
Y1  - 1997
SN  - 4-274-90187-4
ER  - 
TY  - JOUR
A1  - Kuznetsov, Sergey P.
A1  - Pikovskij, Arkadij
A1  - Bezrucko, B. P.
A1  - Seleznev, E. P.
A1  - Feudel, Ulrike
T1  - O dinamike nelinejnych sistem po vne¬nim kvaziperiodi§eskim vozdejstviem vblizi to§ki okon§anija linii bifurkatcii udvoenija tora
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Witt, Annette
A1  - Feudel, Ulrike
A1  - Pikovskij, Arkadij
T1  - Birth of strange nonchaotic attractors due to interior crisis
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Feudel, Ulrike
A1  - Grebogi, Celso
A1  - Ott, E.
T1  - Phase-locking in quasiperiodically forced systems
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Feudel, Ulrike
A1  - Grebogi, Celso
T1  - Multistability and the control of complexity
Y1  - 1997
SN  - 1054-1500
ER  - 
TY  - JOUR
A1  - Lai, Ying Cheng
A1  - Grebogi, Celso
A1  - Feudel, Ulrike
A1  - Witt, Annette
T1  - Basin bifurcation in quasiperiodically forced systems
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Poon, L.
A1  - Grebogi, Celso
A1  - Feudel, Ulrike
A1  - Yorke, J. A.
T1  - Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Kuznetsov, Sergey P.
A1  - Feudel, Ulrike
A1  - Pikovskij, Arkadij
T1  - Renormalization group for scaling at the torus-doubling terminal point
N2  - 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.
Y1  - 1998
ER  -