Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations II: Bifurcation and Stability

A singular perturbation problem from the artificial compressible system to incompressible is considered for a doubly diffusive convection when Hopf bifurcation motionless state occurs in system. It proved that also small parameter, called Mach number. The time periodic solution branch of shown converge corresponding bifurcating limit vanishing