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 Control of chaos and intermittent periodic motions in Rayleigh-Bard convection using a feedback controller Subject The topic of the resource Chaos; Feedback controller; Meclaurin series; Periodic motion; Rayleigh-Bard convection Description An account of the resource Control of regular convective motion, chaos and periodic motion in the Rayleigh-Bard system is studied by considering a feedback control mechanism that considers the dependence of the heating (cooling) of the two boundary plates on one another. This set up ensures that the different flow regimes (convective, chaotic and periodic) in the system have no mechanical interference and the control remains an external mechanism. The rheostatic influence of feedback control on these flows is demonstrated by investigating in detail the critical Rayleigh number in the case of regular convective motion and the Hopf-Rayleigh number in the case of chaotic motion. For mild coupling between lower and upper boundary temperatures, periodic motions are intermittently observed in an otherwise chaotic regime at times when the system arrives at a situation (fuelling zone) wherein it needs to conserve energy in order to sustain chaos at subsequent times. For strong coupling between the boundary temperatures, an interesting situation arises wherein chaos makes a delayed and brief appearance and gives way to a prolonged spell of periodic motion. Features of the classical Rayleigh-Bard system are retained but each regime makes a delayed appearance. The Author(s), under exclusive licence to Springer Nature B.V. 2024. Creator An entity primarily responsible for making the resource Kanchana C.; Siddheshwar P.G.; Laroze D. Source A related resource from which the described resource is derived Nonlinear Dynamics Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. 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/s11071-024-10494-1" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s11071-024-10494-1</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85206975313&amp;doi=10.1007%2Fs11071-024-10494-1&amp;partnerID=40&amp;md5=de7402eb5bfab7076d2c15ba59c1982f" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85206975313&amp;doi=10.1007%2fs11071-024-10494-1&amp;partnerID=40&amp;md5=de7402eb5bfab7076d2c15ba59c1982f</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 0924090X; CODEN: NODYE 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, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile; Siddheshwar P.G., Centre for Mathematical Needs, CHRIST (Deemed to be University), Hosur Road, Bengaluru, 560029, India; Laroze D., Instituto de Alta Investigaci, Universidad de Tarapac Casilla 7 D, Arica, 1000000, Chile