TY  - JOUR
A1  - Baltanás, J. P.
A1  - Zaikin, Alexei A.
A1  - Feudel, Fred
A1  - Kurths, Jürgen
A1  - Sanjuan, Miguel Angel Fernández
T1  - Noise-induced effects in tracer dynamics
Y1  - 2002
ER  - 
TY  - BOOK
A1  - Braun, Robert
A1  - Feudel, Fred
T1  - Supertransient chaos in the two-dimensional complex Ginzburg-Landau equation
T3  - Preprint NLD
Y1  - 1996
VL  - 29
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Braun, Robert
A1  - Feudel, Fred
A1  - Gebogi, C.
A1  - Kurths, Jürgen
A1  - Witt, Annette
T1  - Tracer dynamics in a flow of driven vortices
Y1  - 1999
ER  - 
TY  - BOOK
A1  - Braun, Robert
A1  - Feudel, Fred
A1  - Guzdar, P.
T1  - The route to chaos for a two-dimensional externally driven flow : [to appear in Physical Review E]
T3  - Preprint NLD
Y1  - 1998
SN  - 1432-2935
VL  - 46
PB  - Univ. Potsdam
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Braun, Robert
A1  - Feudel, Fred
A1  - Guzdar, P.
T1  - The route to chaos for a two-dimensional externally driven flow
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Braun, Robert
A1  - Feudel, Fred
A1  - Seehafer, Norbert
T1  - Bifurcations and chaos in an array of forced vortices
Y1  - 1997
ER  - 
TY  - BOOK
A1  - Braun, Robert
A1  - Feudel, Fred
A1  - Seehafer, Norbert
T1  - Bifurcations and chaos in an array of forced vortices
T3  - Preprint NLD
Y1  - 1997
SN  - 1432-2935
VL  - 37
PB  - Univ. Potsdam
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Donner, Reik Volker
A1  - Feudel, Fred
A1  - Seehafer, Norbert
A1  - Sanjuan, Miguel Angel Fernandez
T1  - Hierarchical modeling of a forced Roberts Dynamo
N2  - We investigate the dynamo effect in a flow configuration introduced by G. O. Roberts in 1972. Based on a clear energetic hierarchy of Fourier components on the steady-state dynamo branch, an approximate model of interacting modes is constructed covering all essential features of the complete system but allowing simulations with a minimum amount of computation time. We use this model to study the excitation mechanism of the dynamo, the transition from stationary to time-dependent dynamo solutions and the characteristic properties of the latter ones.
Y1  - 2007
UR  - http://www.worldscinet.com/ijbc/ijbc.shtml
U6  - https://doi.org/10.1142/S021812740701941X
SN  - 0218-1274
ER  - 
TY  - JOUR
A1  - Donner, Reik Volker
A1  - Seehafer, Norbert
A1  - Sanjuan, Miguel Angel Fernandez
A1  - Feudel, Fred
T1  - Low-dimensional dynamo modelling and symmetry-breaking bifurcations
JF  - Physica. D, Nonlinear phenomena
N2  - Motivated by the successful Karlsruhe dynamo experiment, a relatively low-dimensional dynamo model is proposed. It is based on a strong truncation of the magnetohydrodynamic (MHD) equations with an external forcing of the Roberts type and the requirement that the model system satisfies the symmetries of the full MHD system, so that the first symmetry-breaking bifurcations can be captured. The backbone of the Roberts dynamo is formed by the Roberts flow, a helical mean magnetic field and another part of the magnetic field coupled to these two by triadic mode interactions. A minimum truncation model (MTM) containing only these energetically dominating primary mode triads is fully equivalent to the widely used first-order smoothing approximation. However, it is shown that this approach works only in the limit of small wave numbers of the excited magnetic field or small magnetic Reynolds numbers ($Rm ll 1$). To obtain dynamo action under more general conditions, secondary mode
Y1  - 2006
UR  - http://www.sciencedirect.com/science/journal/01672789
U6  - https://doi.org/10.1016/j.physd.2006.08.022
SN  - 0167-2789
VL  - 223
IS  - 2
SP  - 151
EP  - 162
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - THES
A1  - Feudel, Fred
T1  - Bifurcations and pattern formation in spatially extended systems
Y1  - 2001
ER  -