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 Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control Description An account of the resource Investigation of the dynamical behavior related to environmental phenomena has received much attention across a variety of scientific domains. One such phenomenon is global warming. The main causes of global warming, which has detrimental effects on our ecosystem, are mainly excess greenhouse gases and temperature. Looking at the significance of this climatic event, in this study, we have connected the ACT-like model to three climatic components, namely, permafrost thaw, temperature, and greenhouse gases in the form of a Caputo fractional differential equation, and analyzed their dynamics. The theoretical aspects, such as the existence and uniqueness of the obtained solution, are examined. We have derived two different sliding mode controllers to control chaos in this fractional-order system. The influences of these controllers are analyzed in the presence of uncertainties and external disturbances. In this process, we have obtained a new controlled system of equations without and with uncertainties and external disturbances. Global stability of these new systems is also established. All the aspects are examined for commensurate and non-commensurate fractional-order derivatives. To establish that the system is chaotic, we have taken the assistance of the Lyapunov exponent and the bifurcation diagram with respect to the fractional derivative. To perform numerical simulation, we have identified certain values of the parameters where the system exhibits chaotic behavior. Then, the theoretical claims about the influence of the controller on the system are established with the help of numerical simulations. 2023 Author(s). Creator An entity primarily responsible for making the resource Naik M.K.; Baishya C.; Veeresha P.; Baleanu D. Source A related resource from which the described resource is derived Chaos, Vol-33, No. 2 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 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1063/5.0130403" target="_blank" rel="noreferrer noopener">https://doi.org/10.1063/5.0130403</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85148674687&amp;doi=10.1063%2F5.0130403&amp;partnerID=40&amp;md5=e2c1db0d511da034f25ebed77fdee510" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85148674687&amp;doi=10.1063%2f5.0130403&amp;partnerID=40&amp;md5=e2c1db0d511da034f25ebed77fdee510</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 10541500; PubMed ID: 36859205 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 Naik M.K., Department of Studies and Research in Mathematics, Tumkur University, Karnataka, Tumkur, 572103, India; Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Karnataka, Tumkur, 572103, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST, Deemed to Be University, Bengaluru, 560029, India; Baleanu D., Department of Mathematics, Cankaya University, Balgat, Ankara, 06530, Turkey, Institute of Space Sciences, Bucharest, Magurele, R76900, Romania