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 Faculty Publications 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/. Creator An entity primarily responsible for making the resource Siddheshwar, P.G.; Revankar, Vinit Vinod; Jagadeesh Kumar, M.S. Title A name given to the resource Linear and weakly nonlinear stability analyses of Darcy Bard convection with feedback control Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Scientific Reports;Volume;15;Issue;1;Article No.;36964; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1038/s41598-025-20834-9" target="_blank" rel="noreferrer noopener">https://doi.org/10.1038/s41598-025-20834-9</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105019549528?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105019549528?origin=resultslist</a> 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, CHRIST University, Bengaluru, 560029, India; Revankar V.V., Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, India; Jagadeesh Kumar M.S., Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632014, India Description An account of the resource In this paper, the effect of feedback control on the criterion for the onset of DarcyBard convection in a horizontal Boussinesq Newtonian fluid is studied theoretically. The bounding isothermal lower and upper surfaces are considered to be rigid. The single term Galerkin method and the Maclaurin series expansion are combined with the Newton-Raphson method of three variables to perform a linear stability analysis in order to determine eigen value. To make a weakly nonlinear stability analysis of the system, a Vadasz Lorenz model is constructed. The models various properties are discovered to be identical to those of the standard Lorenz model. The exhibits both dissipative and conservative characteristics and the bounded nature of its solution is demonstrated by the trapping region, which takes the form of an ellipsoid. The Hopf-Rayleigh number determined from the autonomous dynamical system predicts the onset of chaos. The influence of the controller gain parameter and the Biot number on the onset of convection has been analyzed. Results from the study reveal that the controller gain parameter stabilizes the system and further delays the onset of chaos. Overall, the study establishes that an increase in the Biot number promotes long-term periodic motion over chaotic behavior, while an increase in the controller gain parameter enlarges the trapping region, thereby contributing to improved system stability. The Author(s) 2025. Subject The topic of the resource Chaos; Feedback control; Newtonian fluid; Third-type boundary condition on temperature Publisher An entity responsible for making the resource available Nature Research Relation A related resource ISSN: 20452322; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource All Open Access; Gold Open Access; Green Open Access Format The file format, physical medium, or dimensions of the resource online