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 Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator Subject The topic of the resource Bifurcation; Caputo fractional derivative; Chaos control; Lyapunov exponent; Modified Lorenz-84 climate model; Time-delay Description An account of the resource The Lorenz-84 climate model is a simplified mathematical model that describes the chaotic behavior of atmospheric convection and its impact on global climate patterns. It captures the presence of chaotic behavior in the motion of westerly wind and helps understand the concept of sensitivity to initial conditions. But as observed over the years, the westerlies are gaining more strength due to the rise in atmospheric temperature. In this work, we have modified the old model to observe the changes in the behavior of the system due to global warming and time delay. The modified model has been generalized using Caputo fractional derivative to provide a more accurate representation of the system with memory effect and non-local behavior. The stability of the new model has been tested at all the equilibrium points. Using Picard's operator and Banach's Fixed Point theorem, it has been shown that there exists a unique and bounded solution for the new model. It has been observed that the sole effect of global warming makes the system gradually unstable from chaotic as the fractional order ? is decreased from 0.80 to 0.50. Also, a shift in the bifurcation point has been noticed for the new model. All three Lyapunov exponents have been calculated for different fractional orders to confirm the presence of chaos in the modified model as well. A chaos control law has been constructed for the modified chaotic model using the sliding mode control theory. Interestingly, the chaos disappears completely when the effect of time-delay is considered in the modified model. Since our proposed time-delayed modified model shows an asymptotically stable nature for all fractional orders ? less than 0.85, it is better suited to make more accurate predictions about the strength of the westerlies. 2023 Elsevier B.V. Creator An entity primarily responsible for making the resource Chakraborty A.; Veeresha P. Source A related resource from which the described resource is derived Communications in Nonlinear Science and Numerical Simulation, Vol-128 Publisher An entity responsible for making the resource available Elsevier 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/10.1016/j.cnsns.2023.107657" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.cnsns.2023.107657</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176361682&amp;doi=10.1016%2Fj.cnsns.2023.107657&amp;partnerID=40&amp;md5=a089be964c56b4620dc3efec3719742b" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176361682&amp;doi=10.1016%2fj.cnsns.2023.107657&amp;partnerID=40&amp;md5=a089be964c56b4620dc3efec3719742b</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 10075704 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 Chakraborty A., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Veeresha P., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India