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Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control

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dc.contributor.author Naik, Manisha Krishna
dc.contributor.author Baishya, Chandrali
dc.contributor.author Veeresha, Pundikala
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-12-05T11:44:51Z
dc.date.available 2023-12-05T11:44:51Z
dc.date.issued 2023-02-01
dc.identifier.citation Naik, Manisha Krishna...et.al. (2023)."Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control", Chaos, Vol.33, No.2. tr_TR
dc.identifier.issn 10541500
dc.identifier.uri http://hdl.handle.net/20.500.12416/6737
dc.description.abstract 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1063/5.0130403 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Chaotic Dynamics tr_TR
dc.subject Computer Simulation tr_TR
dc.subject Greenhouse Gas tr_TR
dc.subject Permafrost tr_TR
dc.subject Theoretical tr_TR
dc.title Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control tr_TR
dc.type article tr_TR
dc.relation.journal Chaos tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 33 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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