Chaotic convection in a magnetic fluid in rotation subjected to a pseudo-vector type force

Abstract

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.