Structure of phase space in a model of three-dimensional convection in a rotating fluid

The paper presents a mathematical model of convection in a fluid rotating in relation to three-dimensional heat sources and sinks. The Galerkin method is used to construct a 36-dimensional approximation of the equations of the Boussinesq approximation. On the Grashof number-angular velocity plane, neutral stability curves of stationary regimes of convection are obtained for different values of a third parameter characterizing the spatial distribution of heat sources and sinks in the vessel. Two types of self-oscillations are found, and the attraction region of one of these types is shown to be limited in the phase space of the system.