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

This paper presents the study of chaotic convection in a horizontal layer of magnetic fluid under the effect of a pseudo-vector type force and heated from below with free boundary conditions. The helical force is considered as the pseudo-vector type force. We performed a truncated Galerkin expansion and found that the system can be described by a Lorenz-type model. The dynamic system obtained has been characterized using bifurcation diagrams, Lyapunov exponents and phase spaces. It is found that the system exhibits regular and chaotic behaviors in the parameter space. Finally, we noticed that the chaotic domain is considerably reduced with the increase in the intensity of the helical force. (author)