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 Influence of higher-order modes on ferroconvection Description An account of the resource Using Fourier representations, an elaborate study of regular cellular-convective and chaotic motions in a ferrofluid is made. Investigation is made on the adequacy or otherwise of the minimal mode in studying such motions. Higher-order modes are also considered by adding modes (vertical/horizontal/combined extension). For higher modes, the extensions yield a dynamical system of order greater than three. The characteristic features of extended ferromagnetic-Lorenz models are analyzed using the largest Lyapunov exponent(LE), second largest LE, bifurcation diagram, and phase-space plots. The effect of additional modes on critical modal-Rayleigh (infinitesimal and finite-amplitude ones) numbers and the Rayleigh number at which transition to chaos occurs are examined to report features of ferroconvection hitherto unseen in previous studies. As both horizontal and vertical modes are increased, our findings infer that the dynamical system displays advanced onset of regular convection and delayed chaotic motion. Vigorous-chaotic motion is seen on adding vertical modes, whereas on adding horizontal modes, intense chaos appears with decreased intensity for large values of the scaled Rayleigh number. Most important finding from the study is that as modes are increased (vertical/horizontal), the transition from regular to chaotic motion is greatly modified and leads the system to a hyper-chaotic state. Conventionally, the chaotic or hyper-chaotic state is intermittent with a periodic/quasi-periodic state but it can be retained in the chaotic or hyper-chaotic state by considering moderate values of the Prandtl number and/or by bringing in the ferromagnetic effect. 2022 Author(s). Creator An entity primarily responsible for making the resource Kanchana C.; Vez J.A.; Pez L.M.; Laroze D.; Siddheshwar P.G. Source A related resource from which the described resource is derived Chaos, Vol-32, No. 8 Publisher An entity responsible for making the resource available American Institute of Physics Inc. Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1063/5.0097398" target="_blank" rel="noreferrer noopener">https://doi.org/10.1063/5.0097398</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137102996&amp;doi=10.1063%2F5.0097398&amp;partnerID=40&amp;md5=2c06a9fefed4f0bd53b40e937886423f" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137102996&amp;doi=10.1063%2f5.0097398&amp;partnerID=40&amp;md5=2c06a9fefed4f0bd53b40e937886423f</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 10541500; PubMed ID: 36049924 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 Kanchana C., Instituto de Alta Investigaci, Sede Esmeralda Universidad de Tarapac Av. Luis Emilio Recabarren 2477, Iquique, Chile; Vez J.A., Instituto de Alta Investigaci, CEDENNA, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Pez L.M., Departamento de Fica, FACI, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Laroze D., Instituto de Alta Investigaci, CEDENNA, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Siddheshwar P.G., Center for Mathematical Needs, Department of Mathematics, CHRIST(Deemed to Be University), Bengaluru, 560029, India