This paper reports the chaos control on the convection in a magnetic fluid in rotation subjected to a pseudo-vector type force. We performed a truncated Galerkin expansion which allowed to describe the system by a Lorenz-type model. We characterized the dynamical system by plotting bifurcation diagrams, Lyapunov exponents and phase spaces. It is found that the system exhibits rich behaviors depending on the variation of the system parameters. Finally, we noticed that the chaotic domain is considerably reduced with the increase of the helical force whereas the Taylor number enlarges it.
This article deals with the control of chaos on the convective motion in a ferrofluid filled in a rotating porous medium and under the helical force effect. We performed a truncated expansion of Galerkin and found the Lorenz-type model which described the system. The dynamical system is characterized using appropriate and subsequent criteria. We noticed that the system presents regular and chaotic behaviors according to the parameters at present. A considerable reduction of the chaotic domain is noticed with the increase of the intensity of the helical force and of the Darcy number, thus making it possible to delay the heat transfer in the system. The increase in the viscosity ratio and the Taylor number widen the chaotic domain leading to an acceleration of the heat transfer in the system.
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