Chaotic convective behavior and stability analysis of a fractional viscoelastic fluids model in porous media

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Abstract

In this paper, a dynamical fractional viscoelastic fluids convection model in porous media is proposed and its chaotic behavior is studied. A preformed equilibrium points analysis indicates the conditions where chaotic dynamics can be observed, and show the existence of chaos. The behavior and stability analysis of the integer-order and the fractional commensurate and non-commensurate orders of a fractional viscoelastic fluids system, which exhibits chaos, are presented as well.
Original languageEnglish (US)
Title of host publication2015 3rd International Conference on Control, Engineering & Information Technology (CEIT)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781479982127
DOIs
StatePublished - Sep 3 2015

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