@article{SeehaferGellertKuzanyanetal.2003, author = {Seehafer, Norbert and Gellert, Marcus and Kuzanyan, Kirill M. and Pipin, V. V.}, title = {Helicity and the solar dynamo}, year = {2003}, language = {en} } @article{FeudelTuckermanGellertetal.2015, author = {Feudel, Fred and Tuckerman, L. S. and Gellert, Marcus and Seehafer, Norbert}, title = {Bifurcations of rotating waves in rotating spherical shell convection}, series = {Physical Review E}, volume = {92}, journal = {Physical Review E}, number = {5}, publisher = {American Physical Society}, address = {Woodbury}, issn = {1539-3755}, doi = {10.1103/PhysRevE.92.053015}, year = {2015}, abstract = {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.}, language = {en} } @article{FeudelGellertRuedigeretal.2003, author = {Feudel, Fred and Gellert, Marcus and R{\"u}diger, Sten and Witt, Annette and Seehafer, Norbert}, title = {Dynamo effect in a driven helical flow}, year = {2003}, language = {en} } @article{FeudelSeehaferTuckermanetal.2013, author = {Feudel, Fred and Seehafer, Norbert and Tuckerman, Laurette S. and Gellert, Marcus}, title = {Multistability in rotating spherical shell convection}, series = {Physical review : E, Statistical, nonlinear and soft matter physics}, volume = {87}, journal = {Physical review : E, Statistical, nonlinear and soft matter physics}, number = {2}, publisher = {American Physical Society}, address = {College Park}, issn = {1539-3755}, doi = {10.1103/PhysRevE.87.023021}, pages = {8}, year = {2013}, abstract = {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.}, language = {en} }