Abstract Since Lorenz’s work, many autonomous systems for investigating chaotic thermal convection in pure fluid layers or in fluid-saturated porous media have been presented. From considering thermal convection in Oldroydian fluid-saturated porous media Abstract Since Lorenz’s work, many autonomous systems for investigating chaotic thermal convection in pure fluid layers or in fluid-saturated porous media have been presented. From considering thermal convection in Oldroydian fluid-saturated porous media