Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Reduction of a Tri-Modal Lorenz Model of Ferrofluid Convection to a CubicQuintic GinzburgLandau Equation Using the Center Manifold Theorem Subject The topic of the resource Center manifold; Electroconvection; Ferrofluid convection; GinzburgLandau; GlukhovskyDolzhansky system; Lorenz model; Quintic Description An account of the resource The differential geometric method of the center manifold theorem is applied to the magnetic-Lorenz model of ferrofluid convection in an electrically non-conducting ferrofluid. The analytically intractable tri-modal nonlinear autonomous system (magnetic-Lorenz model) is reduced to an analytically tractable uni-modal cubicquintic GinzburgLandau equation. The inadequacy of the cubic GinzburgLandau equation and the need for the cubicquintic one is shown in the paper. The heat transport is quantified using the solution of the cubicquintic equation and the effect of ferrofluid parameters on it is demonstrated. The stable and unstable regions in the conductive regime and the conductive-convective regime is depicted using a bifurcation diagram. The noticeable discrepancy between the results of the two models is highlighted and the quintic non-linearity effects are delineated. 2021, Foundation for Scientific Research and Technological Innovation. Creator An entity primarily responsible for making the resource Siddheshwar P.G.; Sushma T.S. Source A related resource from which the described resource is derived Differential Equations and Dynamical Systems, Vol-32, No. 1, pp. 151-169. Publisher An entity responsible for making the resource available Springer Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s12591-021-00565-9" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s12591-021-00565-9</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85101800456&amp;doi=10.1007%2Fs12591-021-00565-9&amp;partnerID=40&amp;md5=670561217f104455af0b79a23d70b987" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85101800456&amp;doi=10.1007%2fs12591-021-00565-9&amp;partnerID=40&amp;md5=670561217f104455af0b79a23d70b987</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 9713514 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Hosur Road Campus, Bengaluru, 560029, India; Sushma T.S., Department of Mathematics, B.N.M. Institute of Technology, Bengaluru, 560070, India, Department of Mathematics (VTU RC), CMR Institute of Technology, Bengaluru, India