title: Hyperchaotic intermittent convection in a magnetized viscous fluid.
abstract: We consider a low-dimensional model of convection in a horizontally magnetized layer of a viscous fluid heated from below. We analyze in detail the stability of hydrodynamic convection for a wide range of two control parameters. Namely, when changing the initially applied temperature difference or magnetic field strength, one can see transitions from regular to irregular long-term behavior of the system, switching between chaotic, periodic, and equilibrium asymptotic solutions. It is worth noting that owing to the induced magnetic field a transition to hyperchaotic dynamics is possible for some parameters of the model. We also reveal new features of the generalized Lorenz model, including both type I and III intermittency.
authors.affiliation: Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938 Warsaw, Poland, and Space Research Centre, Polish Academy of Sciences, Bartycka 18 A, 00-716 Warsaw, Poland.
authors.forename: Wiesław M
authors.initials: WM
authors.lastname: Macek
authors.affiliation: Space Research Centre, Polish Academy of Sciences, Bartycka 18 A, 00-716 Warsaw, Poland.
authors.forename: Marek
authors.initials: M
authors.lastname: Strumik