@book{SchumacherKliemSeehafer1999, author = {Schumacher, J{\"o}rg and Kliem, Bernhard and Seehafer, Norbert}, title = {Three-dimensional spontaneous magnetic reconnection in neutral current sheets}, series = {Preprint series / Astrophysikalisches Institut Potsdam}, volume = {99,42}, journal = {Preprint series / Astrophysikalisches Institut Potsdam}, publisher = {AIP}, address = {Potsdam}, pages = {26 S. : graph. Darst.}, year = {1999}, language = {en} } @article{RuedigerFeudelSeehafer1998, author = {R{\"u}diger, Sten and Feudel, Fred and Seehafer, Norbert}, title = {Dynamo bifurcations in an array of driven convectionlike rolls}, year = {1998}, language = {en} } @article{SeehaferFeudelGalanti1998, author = {Seehafer, Norbert and Feudel, Fred and Galanti, B.}, title = {Bifurcations in a magnetofluid with helical forcing}, isbn = {1-563-47284-8}, year = {1998}, language = {en} } @article{Seehafer1998, author = {Seehafer, Norbert}, title = {Filaments and the solar dynamo}, isbn = {1-88673-370-8}, year = {1998}, language = {en} } @article{SchmidtmannFeudelSeehafer1998, author = {Schmidtmann, Olaf and Feudel, Fred and Seehafer, Norbert}, title = {Nonlinear Galerkin methods based on the concept of determining modes for the magnetohydrodynamic equations}, year = {1998}, language = {en} } @article{ZienickeSeehaferFeudel1998, author = {Zienicke, Egbert and Seehafer, Norbert and Feudel, Fred}, title = {Bifurcations in two-dimensional Rayleigh-B{\´e}nard convection}, year = {1998}, language = {en} } @article{ScheelSeehafer1997, author = {Scheel, S. and Seehafer, Norbert}, title = {Bifurcation to oscillations in three-dimensional Rayleigh-B{\´e}nard convection}, year = {1997}, language = {en} } @article{BraunFeudelSeehafer1997, author = {Braun, Robert and Feudel, Fred and Seehafer, Norbert}, title = {Bifurcations and chaos in an array of forced vortices}, year = {1997}, language = {en} } @book{RuedigerFeudelSeehafer1998, author = {R{\"u}diger, Sten and Feudel, Fred and Seehafer, Norbert}, title = {Dynamo bifurcations in an array of driven convectionlike rolls}, series = {Preprint NLD}, volume = {43}, journal = {Preprint NLD}, publisher = {Univ.}, address = {Potsdam}, issn = {1432-2935}, pages = {6 S. : Ill.}, year = {1998}, language = {en} } @article{SeehaferSchumacher1998, author = {Seehafer, Norbert and Schumacher, J{\"o}rg}, title = {Resistivity profile and instability of the plane sheet pinch}, year = {1998}, language = {en} } @book{SeehaferSchumacher1998, author = {Seehafer, Norbert and Schumacher, J{\"o}rg}, title = {Resistivity profile and instability of the plane sheet pinch}, series = {Preprint NLD}, volume = {44}, journal = {Preprint NLD}, publisher = {Univ. Potsdam}, address = {Potsdam}, issn = {1432-2935}, pages = {27 S. : graph. Darst.}, year = {1998}, language = {en} } @article{FeudelSeehaferSchmidtmann1996, author = {Feudel, Fred and Seehafer, Norbert and Schmidtmann, Olaf}, title = {Bifurcation phenomena of the magnetofluid equations}, year = {1996}, abstract = {We report on bifurcation studies for the incompressible magnetohydrodynamic equations in three space dimensions with periodic boundary conditions and a temporally constant external forcing. Fourier representations of velocity, pressure and magnetic field have been used to transform the original partial differential equations into systems of ordinary differential equations (ODE), to which then special numerical methods for the qualitative analysis of systems of ODE have been applied, supplemented by the simulative calculation of solutions for selected initial conditions. In a part of the calculations, in order to reduce the number of modes to be retained, the concept of approximate inertial manifolds has been applied. For varying (increasing from zero) strength of the imposed forcing, or varying Reynolds number, respectively, time-asymptotic states, notably stable stationary solutions, have been traced. A primary non- magnetic steady state loses, in a Hopf bifurcation, stability to a periodic state with a non-vanishing magnetic field, showing the appearance of a generic dynamo effect. From now on the magnetic field is present for all values of the forcing. The Hopf bifurcation is followed by further, symmetry-breaking, bifurcations, leading finally to chaos. We pay particular attention to kinetic and magnetic helicities. The dynamo effect is observed only if the forcing is chosen such that a mean kinetic helicity is generated; otherwise the magnetic field diffuses away, and the time-asymptotic states are non-magnetic, in accordance with traditional kinematic dynamo theory.}, language = {en} } @article{SchmidtmannFeudelSeehafer1997, author = {Schmidtmann, Olaf and Feudel, Fred and Seehafer, Norbert}, title = {Nonlinear Galerkin methods for the 3D magnetohydrodynamic equations}, year = {1997}, language = {en} } @book{ZienickeSeehaferFeudel1997, author = {Zienicke, Egbert and Seehafer, Norbert and Feudel, Fred}, title = {Bifurcations in two-dimensional Rayleigh-B{\´e}nard convection}, series = {Preprint NLD}, volume = {42}, journal = {Preprint NLD}, publisher = {Univ. Potsdam}, address = {Potsdam}, issn = {1432-2935}, pages = {8 S. : graph. Darst.}, year = {1997}, language = {en} } @book{ScheelSeehafer1997, author = {Scheel, S. and Seehafer, Norbert}, title = {Bifurcation to Oscillations in three-dimensional Rayleigh-B{\´e}nard convection}, series = {Preprint NLD}, volume = {39}, journal = {Preprint NLD}, publisher = {Univ. Potsdam}, address = {Potsdam}, issn = {1432-2935}, pages = {7 S. : graph. Darst.}, year = {1997}, language = {en} } @book{SchmidtmannFeudelSeehafer1997, author = {Schmidtmann, Olaf and Feudel, Fred and Seehafer, Norbert}, title = {Nonlinear Galerkin methods for the 3D magnetohydrodynamic equations}, series = {Preprint NLD}, volume = {35}, journal = {Preprint NLD}, publisher = {Univ. Potsdam}, address = {Potsdam}, issn = {1432-2935}, pages = {16 S. : graph. Darst.}, year = {1997}, language = {en} } @book{SeehaferZienickeFeudel1996, author = {Seehafer, Norbert and Zienicke, Egbert and Feudel, Fred}, title = {Absence of magnetohydrodynamic activity in the voltage-driven sheet}, series = {Preprint NLD}, volume = {32}, journal = {Preprint NLD}, publisher = {Univ.}, address = {Potsdam}, pages = {8 S.}, year = {1996}, language = {en} } @book{BraunFeudelSeehafer1997, author = {Braun, Robert and Feudel, Fred and Seehafer, Norbert}, title = {Bifurcations and chaos in an array of forced vortices}, series = {Preprint NLD}, volume = {37}, journal = {Preprint NLD}, publisher = {Univ. Potsdam}, address = {Potsdam}, issn = {1432-2935}, pages = {7 S. : graph. Darst.}, year = {1997}, language = {en} } @article{SeehaferSchumacher1997, author = {Seehafer, Norbert and Schumacher, J{\"o}rg}, title = {Squire's theorem for the magnetohydrodynamic sheet pinch}, year = {1997}, language = {en} } @book{SeehaferSchumacher1997, author = {Seehafer, Norbert and Schumacher, J{\"o}rg}, title = {Squire's theorem for the magnetohydrodynamic sheet pinch}, series = {Preprint NLD}, volume = {40}, journal = {Preprint NLD}, publisher = {Univ. Potsdam}, address = {Potsdam}, issn = {1432-2935}, pages = {10 S.}, year = {1997}, language = {en} }