Nonlinear dynamics and complexity in the generalized Lorenz system

Dynamics of magnetized fluids is much more complex than expected from the standard magnetohydrodynamics. Besides chaotic behavior that often appears in nonlinear dynamical systems, hyperchaotic motions are also possible on new strange attractors, with bifurcations which could result in turbulent irregular behavior. Surprisingly, all this complexity can be studied by analyzing a simple set of four ordinary differential equations describing hydromagnetic convection, which is the generalization of the famous Lorenz system for the case of turbulent convection in a fluid layer with the embedded magnetic field. This provides a novel contribution to chaos theory that could be of interest to the dynamical systems community.