{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T04:27:31Z","timestamp":1773808051686,"version":"3.50.1"},"reference-count":36,"publisher":"Pleiades Publishing Ltd","issue":"2","license":[{"start":{"date-parts":[[2008,4,1]],"date-time":"2008-04-01T00:00:00Z","timestamp":1207008000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2008,4,1]],"date-time":"2008-04-01T00:00:00Z","timestamp":1207008000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Fluid Dyn"],"published-print":{"date-parts":[[2008,4]]},"DOI":"10.1134\/s0015462808020099","type":"journal-article","created":{"date-parts":[[2008,5,28]],"date-time":"2008-05-28T07:57:05Z","timestamp":1211961425000},"page":"248-256","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Generation of a magnetic field by convective flows in a rotating horizontal layer"],"prefix":"10.1134","volume":"43","author":[{"given":"S. Ya.","family":"Gertsenshtein","sequence":"first","affiliation":[]},{"given":"R. A.","family":"Chertovskikh","sequence":"additional","affiliation":[]}],"member":"137","published-online":{"date-parts":[[2008,5,29]]},"reference":[{"key":"2009_CR1","unstructured":"Ya.B. Zeldovich, A.A. Ruzmaikin, and D.D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, N.Y., 1983)."},{"key":"2009_CR2","volume-title":"Magnetic Field Generation in Electrically Conducting Fluids","author":"H.K. Moffatt","year":"1978","unstructured":"H.K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978)."},{"issue":"2","key":"2009_CR3","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1046\/j.1365-246X.1999.00886.x","volume":"138","author":"U. Christensen","year":"1999","unstructured":"U. Christensen, P. Olson, and G.A. Glatzmaier, \u201cNumerical Modelling of the Geodynamo: A Systematic Parameter Study,\u201d Geophys. J. Int. 138(2), 393\u2013409 (1999).","journal-title":"Geophys. J. Int."},{"issue":"5","key":"2009_CR4","doi-asserted-by":"publisher","first-page":"10383","DOI":"10.1029\/1999JB900013","volume":"104","author":"P. Olson","year":"1999","unstructured":"P. Olson, U. Christensen, and G.A. Glatzmaier, \u201cNumerical Modeling of the Geodynamo: Mechanisms of Field Generation and Equilibration,\u201d J. Geophys. Res., Ser. B 104(5), 10383\u201310404 (1999).","journal-title":"J. Geophys. Res., Ser. B"},{"issue":"1","key":"2009_CR5","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1080\/03091920108204131","volume":"94","author":"P.H. Roberts","year":"2001","unstructured":"P.H. Roberts and G.A. Glatzmaier, \u201cThe Geodynamo, Past, Present and Future,\u201d Geophys. Astrophys. Fluid Dynam. 94(1), 47\u201384 (2001).","journal-title":"Geophys. Astrophys. Fluid Dynam."},{"key":"2009_CR6","doi-asserted-by":"publisher","first-page":"873","DOI":"10.1098\/rsta.2000.0565","volume":"358","author":"C.A. Jones","year":"2000","unstructured":"C.A. Jones, Convection-Driven Geodynamo Models,\u201d Phil. Trans. Roy. Soc. London, Ser.A 358, 873\u2013897 (2000).","journal-title":"Phil. Trans. Roy. Soc. London, Ser.A"},{"issue":"22","key":"2009_CR7","doi-asserted-by":"publisher","first-page":"2869","DOI":"10.1029\/97GL02955","volume":"24","author":"K. Zhang","year":"1997","unstructured":"K. Zhang and C.A. Jones, \u201cThe Effect of Hyperviscosity on Geodynamo Models,\u201d Geophys. Res. Lett. 24(22), 2869\u20132872 (1997).","journal-title":"Geophys. Res. Lett."},{"key":"2009_CR8","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0031-9201(98)00142-3","volume":"111","author":"G.R. Sarson","year":"1999","unstructured":"G.R. Sarson and C.A. Jones, \u201cA Convection-Driven Geodynamo Reversal Model,\u201d Phys. Earth Planet. Int. 111, 3\u201320 (1999).","journal-title":"Phys. Earth Planet. Int."},{"key":"2009_CR9","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1146\/annurev.fluid.32.1.383","volume":"32","author":"F.H. Busse","year":"2000","unstructured":"F.H. Busse, \u201cHomogeneous Dynamos in Planetary Cores and in the Laboratory,\u201d Annu. Rev. Fluid Mech. 32, 383\u2013408 (2000).","journal-title":"Annu. Rev. Fluid Mech."},{"key":"2009_CR10","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1146\/annurev.fluid.32.1.409","volume":"32","author":"K. Zhang","year":"2000","unstructured":"K. Zhang and G. Schubert, \u201cMagnetohydrodynamics in Rapidly Rotating Spherical Systems,\u201d Annu. Rev. Fluid Mech. 32, 409\u2013443 (2000).","journal-title":"Annu. Rev. Fluid Mech."},{"key":"2009_CR11","doi-asserted-by":"publisher","first-page":"1829","DOI":"10.1098\/rspa.1999.0382","volume":"455","author":"P.C. Matthews","year":"1999","unstructured":"P.C. Matthews, \u201cDynamo Action in Simple Convective Flows,\u201d Proc. Roy. Soc. London, Ser. A 455 (1985), 1829\u20131840 (1999).","journal-title":"Proc. Roy. Soc. London, Ser. A"},{"issue":"6","key":"2009_CR12","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1080\/0309192021000036987","volume":"96","author":"A. Demircan","year":"2002","unstructured":"A. Demircan and N. Seehafer, \u201cDynamo in Asymmetric Square Convection,\u201d Geophys. Astrophys. Fluid Dynam. 96(6), 461\u2013479 (2002).","journal-title":"Geophys. Astrophys. Fluid Dynam."},{"issue":"4","key":"2009_CR13","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1140\/epjb\/e2006-00171-4","volume":"50","author":"O.M. Podvigina","year":"2006","unstructured":"O.M. Podvigina, \u201cMagnetic Field Generation by Convective Flows in Plane Layer,\u201d Eur. Phys J. B 50(4), 639\u2013652 (2006).","journal-title":"Eur. Phys J. B"},{"key":"2009_CR14","unstructured":"O.M. Podvigina, \u201cMagnetic Field Generation by Convective Flows in Plane Layer: the Dependence on the Prandtl Number. I,\u201d Geophys. Astrophys. Fluid Dyn. (in press)."},{"key":"2009_CR15","doi-asserted-by":"publisher","first-page":"L13","DOI":"10.1046\/j.1365-8711.2000.03620.x","volume":"315","author":"J.C. Thelen","year":"2000","unstructured":"J.C. Thelen and F. Cattaneo, \u201cDynamo Action Driven by Convection: the Influence on Magnetic Boundary Conditions,\u201d Mon. Not. R. Astron. Soc. 315, L13\u2013L17 (2000).","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"2009_CR16","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1017\/S0022112005004398","volume":"532","author":"R. Simitev","year":"2005","unstructured":"R. Simitev and F.N. Busse, \u201cPrandtl-Number Dependence of Convection-Driven Dynamos in Rotating Spherical Fluid Shells,\u201d J. Fluid Mech. 532, 365\u2013388 (2005).","journal-title":"J. Fluid Mech."},{"key":"2009_CR17","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1017\/S0022112099007363","volume":"404","author":"C.A. Jones","year":"2000","unstructured":"C.A. Jones and P.H. Roberts, \u201cConvection-Driven Dynamos in a Rotating Plane Layer,\u201d J. Fluid Mech. 404, 311\u2013343 (2000).","journal-title":"J. Fluid Mech."},{"key":"2009_CR18","doi-asserted-by":"crossref","unstructured":"J. Rotvig and C.A. Jones, \u201cRotating Convection-Driven Dynamos at Low Ekman Number,\u201d Phys. Rev. (2002). 66(5, Pt 2), 056308.1-056308.15.","DOI":"10.1103\/PhysRevE.66.056308"},{"key":"2009_CR19","volume-title":"Hydrodynamic and Hydromagnetic Stability","author":"S. Chandrasekhar","year":"1961","unstructured":"S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, (Clorendon Press, Oxford, 1961)."},{"key":"2009_CR20","volume-title":"Convective Stability of an Incompressible Fluid","author":"G.Z. Gershuni","year":"1972","unstructured":"G.Z. Gershuni and E.M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian] (Nauka, Moscow, 1972)."},{"key":"2009_CR21","volume-title":"B\u00e9nard Cells and Taylor Vortices","author":"E.L. Koshmieder","year":"1993","unstructured":"E.L. Koshmieder, B\u00e9nard Cells and Taylor Vortices, (Univ. Press, Cambridge, 1993)."},{"key":"2009_CR22","volume-title":"Rayleigh-B\u00e9nard Convection: Structure and Dynamics","author":"A.V. Getling","year":"1996","unstructured":"A.V. Getling, Rayleigh-B\u00e9nard Convection: Structure and Dynamics (World Scientific, Singapore, 1996)."},{"key":"2009_CR23","volume-title":"Magnetohydrodynamics [in Russian]","author":"A.G. Kulikovskii","year":"1962","unstructured":"A.G. Kulikovskii and G.A. Lyubimov, Magnetohydrodynamics [in Russian] (Fizmatgiz, Moscow, 1962)."},{"key":"2009_CR24","volume-title":"General Course of Physics, Vol. 3: Electricity [in Russian]","author":"D.V. Sivukhin","year":"1983","unstructured":"D.V. Sivukhin, General Course of Physics, Vol. 3: Electricity [in Russian] (Nauka, Moscow, 1983)"},{"key":"2009_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84108-8","volume-title":"Spectral Methods in Fluid Dynamics","author":"C. Canuto","year":"1988","unstructured":"C. Canuto, Y. Hussaini, A. Quarteroni, and T.A. Zang, Spectral Methods in Fluid Dynamics (Springer, Berlin, 1988)."},{"key":"2009_CR26","unstructured":"J.P. Boyd, Chebyshev and Fourier Spectral Methods, (Dover, 2000)."},{"key":"2009_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-6557-1","volume-title":"Spectral Methods for Incompressible Viscous Flow","author":"R. Peyret","year":"2002","unstructured":"R. Peyret, Spectral Methods for Incompressible Viscous Flow, (Springer, Berlin, 2002)."},{"issue":"4","key":"2009_CR28","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1016\/0167-2789(94)00031-X","volume":"75","author":"O. Podvigina","year":"1994","unstructured":"O. Podvigina and A. Pouquet, \u201cOn the Non-Linear Stability of the 1:1:1 ABC Flow,\u201d Physica D 75(4), 471\u2013508 (1994).","journal-title":"Physica D"},{"key":"2009_CR29","volume-title":"Spatially Periodic Evolutionary and Stationary Solutions of the Three-Dimensional Navier-Stokes Equation with the ABC Force [in Russian]","author":"O.M. Podvigina","year":"1999","unstructured":"O.M. Podvigina, Spatially Periodic Evolutionary and Stationary Solutions of the Three-Dimensional Navier-Stokes Equation with the ABC Force [in Russian] (Research Institute of Mechanics of Moscow University, Moscow, 1999)."},{"key":"2009_CR30","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1080\/0309192031000119740","volume":"97","author":"O.M. Podvigina","year":"2003","unstructured":"O.M. Podvigina, \u201cA Route to Magnetic Field Reversals: an Example of an ABC-Forced Non-Linear Dynamo,\u201d Geophys. Astrophys. Fluid Dyn. 97, 149\u2013174 (2003).","journal-title":"Geophys. Astrophys. Fluid Dyn."},{"key":"2009_CR31","volume-title":"Nonlinear Problems in the Theory of Hydrodynamic Stability [in Russian]","author":"S.Ya. Gertsenshtein","year":"2001","unstructured":"S.Ya. Gertsenshtein, Nonlinear Problems in the Theory of Hydrodynamic Stability [in Russian] (Moscow University Press, Moscow, 2001)."},{"issue":"2","key":"2009_CR32","first-page":"297","volume":"219","author":"S.Ya. Gertsenshtein","year":"1975","unstructured":"S.Ya. Gertsenshtein and V.M. Shmidt, \u201cInteraction of Finite-Amplitude Waves in the Case of Convective Instability of a Rotating Plane Layer,\u201d Dokl. Akad. Nauk SSSR 219(2), 297\u2013300 (1975).","journal-title":"Dokl. Akad. Nauk SSSR"},{"issue":"6","key":"2009_CR33","first-page":"761","volume":"349","author":"S.Ya. Gertsenshtein","year":"1996","unstructured":"S.Ya. Gertsenshtein and V.M. Romashova, \u201cConvective Instability of a Plane Layer of Conducting Fluid in a Magnetic Field,\u201d Dokl. Ros. Akad. Nauk 349(6), 761\u2013763 (1996).","journal-title":"Dokl. Ros. Akad. Nauk"},{"issue":"6","key":"2009_CR34","doi-asserted-by":"publisher","first-page":"1453","DOI":"10.1137\/0521081","volume":"21","author":"M. Krupa","year":"1990","unstructured":"M. Krupa, \u201cBifurcations of Relative Equilibria,\u201d SIAM J. Math. Anal., 21(6), 1453\u20131486 (1990).","journal-title":"SIAM J. Math. Anal."},{"key":"2009_CR35","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1080\/03091929408203666","volume":"76","author":"A. Bassom","year":"1994","unstructured":"A. Bassom and K. Zhang, \u201cStrongly Nonlinear Convection Cells in a Rapidly Rotating Fluid Layer,\u201d Geophys. Astrophys. Fluid Dyn. 76, 223\u2013238 (1994).","journal-title":"Geophys. Astrophys. Fluid Dyn."},{"issue":"6","key":"2009_CR36","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1063\/1.870010","volume":"11","author":"K. Julien","year":"1999","unstructured":"K. Julien and E. Knobloch, \u201cFully Nonlinear Three-Dimensional Convection in a Rapidly Rotating Layer,\u201d Phys. Fluids. 11(6), 1469\u20131483 (1999).","journal-title":"Phys. Fluids."}],"container-title":["Fluid Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0015462808020099.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0015462808020099","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0015462808020099","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0015462808020099.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T03:31:50Z","timestamp":1773804710000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0015462808020099"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,4]]},"references-count":36,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,4]]}},"alternative-id":["2009"],"URL":"https:\/\/doi.org\/10.1134\/s0015462808020099","relation":{},"ISSN":["0015-4628","1573-8507"],"issn-type":[{"value":"0015-4628","type":"print"},{"value":"1573-8507","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,4]]},"assertion":[{"value":"15 February 2007","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 May 2008","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}