Intermittency in the Generalized Lorenz Model

We consider a low-dimensional model of hydromagnetic convection in a horizontally magnetized layer of a viscous fluid heated from below, which is a generalization of the standard Lorenz model. We analyze the stability of the fluid influenced by the induced magnetic field. By changing two control parameters related to the temperature difference and the applied magnetic field strength, one can see various transitions from regular to irregular long-term behavior of the system through intermittency scenario. We discuss bifurcations leading to both type I and III intermittency. We therefore hope that this model could shed new light on dynamics of magnetohydrodynamic convection.