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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.
Naik, Manisha Krishna; Baishya, Chandrali; Veeresha, Pundikala; Baleanu, Dumitru.
Afiliación
  • Naik MK; Department of Studies and Research in Mathematics, Tumkur University, Tumkur 572103, Karnataka, India.
  • Baishya C; Department of Studies and Research in Mathematics, Tumkur University, Tumkur 572103, Karnataka, 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, 06530 Ankara, Turkey.
Chaos ; 33(2): 023129, 2023 Feb.
Article en En | MEDLINE | ID: mdl-36859205
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.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Chaos Asunto de la revista: CIENCIA Año: 2023 Tipo del documento: Article País de afiliación: India Pais de publicación: Estados Unidos
Texto completo
Añadir a Mi BVS
Imprimir
XML
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Chaos Asunto de la revista: CIENCIA Año: 2023 Tipo del documento: Article País de afiliación: India Pais de publicación: Estados Unidos