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 Francis, Roxanne; Narayana, Mahesha; Siddheshwar, P.G. Title A name given to the resource Hyperchaos in a three-dimensional non-autonomous system 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 Physics of Fluids;Volume;37;Issue;6;Article No.;64116; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1063/5.0272799" target="_blank" rel="noreferrer noopener">https://doi.org/10.1063/5.0272799</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105008992458?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105008992458?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 Francis R., Department of Mathematics, The University of the West Indies, Mona Kingston, Jamaica; Narayana M., Department of Mathematics, The University of the West Indies, Mona Kingston, Jamaica; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, Christ University, Karnataka, Bengaluru, India Description An account of the resource This paper extends the weakly nonlinear stability analysis reported by Francis et al. [J. Eng. Math. 139, 5 (2023)] to cover post-convective regimes of the gravity-modulated Rayleigh-Bard convection in a Newtonian liquid, bounded by rigid-free isothermal boundaries. Weakly nonlinear stability analysis is performed by considering second harmonics in the Fourier series expansion of temperature, while the second harmonics in the velocity field is neglected owing to the assumption of small-scale convective motions. The occurrence of hyperchaos within the three-dimensional non-autonomous system is observed, induced by modulation, emerging for varying, random combinations of frequency and amplitude values. This result has not been reported in the literature before, to the best of the authors' knowledge. Bifurcation analysis is carried out for varying combinations of modulation parameters. It is found that gravity modulation, in general, stabilizes the convective system under consideration. 2025 Author(s). Publisher An entity responsible for making the resource available American Institute of Physics Relation A related resource ISSN: 10706631; CODEN: PHFLE 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 Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online