TY  - JOUR
A1  - Seehafer, Norbert
A1  - Gellert, Marcus
A1  - Kuzanyan, Kirill M.
A1  - Pipin, V. V.
T1  - Helicity and the solar dynamo
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Feudel, Fred
A1  - Tuckerman, L. S.
A1  - Gellert, Marcus
A1  - Seehafer, Norbert
T1  - Bifurcations of rotating waves in rotating spherical shell convection
JF  - Physical Review  E
N2  - The dynamics and bifurcations of convective waves in rotating and buoyancy-driven spherical Rayleigh-Benard convection are investigated numerically. The solution branches that arise as rotating waves (RWs) are traced by means of path-following methods, by varying the Rayleigh number as a control parameter for different rotation rates. The dependence of the azimuthal drift frequency of the RWs on the Ekman and Rayleigh numbers is determined and discussed. The influence of the rotation rate on the generation and stability of secondary branches is demonstrated. Multistability is typical in the parameter range considered.
KW  - nonsymmetric linear-systems
KW  - thermal-convection
KW  - fluid shells
KW  - hopf-bifurcation
KW  - onset
KW  - magnetoconvection
KW  - number
KW  - flow
Y1  - 2015
U6  - https://doi.org/10.1103/PhysRevE.92.053015
SN  - 1539-3755
SN  - 1550-2376
VL  - 92
IS  - 5
PB  - American Physical Society
CY  - Woodbury
ER  - 
TY  - JOUR
A1  - Feudel, Fred
A1  - Gellert, Marcus
A1  - Rüdiger, Sten
A1  - Witt, Annette
A1  - Seehafer, Norbert
T1  - Dynamo effect in a driven helical flow
Y1  - 2003
UR  - http://link.aps.org/abstract/PRE/v68/e046302
ER  - 
TY  - JOUR
A1  - Feudel, Fred
A1  - Seehafer, Norbert
A1  - Tuckerman, Laurette S.
A1  - Gellert, Marcus
T1  - Multistability in rotating spherical shell convection
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - The multiplicity of stable convection patterns in a rotating spherical fluid shell heated from the inner boundary and driven by a central gravity field is presented. These solution branches that arise as rotating waves (RWs) are traced for varying Rayleigh number while their symmetry, stability, and bifurcations are studied. At increased Rayleigh numbers all the RWs undergo transitions to modulated rotating waves (MRWs) which are classified by their spatiotemporal symmetry. The generation of a third frequency for some of the MRWs is accompanied by a further loss of symmetry. Eventually a variety of MRWs, three-frequency solutions, and chaotic saddles and attractors control the dynamics for higher Rayleigh numbers.
Y1  - 2013
U6  - https://doi.org/10.1103/PhysRevE.87.023021
SN  - 1539-3755
VL  - 87
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  -