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 Rheostatic effect of a magnetic field on the onset of chaotic and periodic motions in a five-dimensional magnetoconvective Lorenz system Subject The topic of the resource Chaos; Hopf bifurcation; Lorenz; RayleighBard; Weakly nonlinear Description An account of the resource This paper deals with a weakly nonlinear study of two-dimensional RayleighBard magnetoconvection using a simplified five-dimensional Lorenz model. The governing equations of the system are nondimensionalized and formulated in terms of the stream function and the scalar magnetic potential. A five-modal Fourier truncation scheme is employed and the resulting equations are scaled to obtain a five-dimensional autonomous dynamical system. The Hopf-Rayleigh number, signifying Hopf bifurcation, is numerically evaluated from the analysis of weakly nonlinear stability. Chaotic and periodic motions are depicted by plotting bifurcation diagrams, largest Lyapunov exponent (LLE) diagrams and three-dimensional projections of the phase-space. For a fixed set of parameter values, increasing the strength of the applied magnetic field is found to increase the Hopf-Rayleigh number, thereby delaying the destabilization of the system's equilibrium points. It is shown that while low magnetic field strengths favor the onset of chaotic motion directly from the steady state, stronger magnetic field strengths favor the onset of periodic convection from the steady state prior to the appearance of chaotic motion. We observe here that the applied magnetic field regulates the onset of chaotic and periodic motions in the system and therefore, has a rheostatic control over chaotic and periodic behaviors. 2025 Elsevier Ltd Creator An entity primarily responsible for making the resource Siddheshwar P.G.; Suresh A.; Kumar M.S.J. Source A related resource from which the described resource is derived Chaos, Solitons and Fractals, Vol-192 Publisher An entity responsible for making the resource available Elsevier Ltd Date A point or period of time associated with an event in the lifecycle of the resource 2025-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.chaos.2025.116020" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.chaos.2025.116020</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85215607191&amp;doi=10.1016%2Fj.chaos.2025.116020&amp;partnerID=40&amp;md5=1942ff35b404fe36542e3c9b24af356d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85215607191&amp;doi=10.1016%2fj.chaos.2025.116020&amp;partnerID=40&amp;md5=1942ff35b404fe36542e3c9b24af356d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 9600779; CODEN: CSFOE 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., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bengaluru, 560029, India; Suresh A., Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, 632014, India; Kumar M.S.J., Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, 632014, India