Abstarct: Micro-gas streams are involved in many applications of micro-electromechanical systems. Computational modeling and simulation can provide effective predictive capabilities for heat transfer and momentum at the micro scale, as well as a tool for evaluating the performance of a new micro device before it is built. Given that at the micro scale, including in micro motors, despite the high speeds and temperatures, the issue of stability is of particular importance, it seems that the use of non-circular gas bearings and multi-lobes is a good option for such machines. In this thesis, considering that the gas film in the gap of the gas-lubricated micro bearing is in the range of rarefied gases, the molecular gas film lubricant model has been used by considering temperature changes. To investigate the effect of temperature on the nonlinear dynamic behavior of the rotor-bearing system, the lubrication model (which includes temperature effects) is systematically coupled with the equations of motion of the system in order to solve them simultaneously. The molecular gas film lubrication equation has been discretized using the finite element method and solved with the rotor motion equations simultaneously using the fourth-order Runge-Kutta method. Steady state characteristics such as pressure profile, deviation angle, rotor center equilibrium position, load carrying capacity and frictional power loss and nonlinear dynamic behavior of the system using dynamic orbits, phase portraits, Poincaré map, power spectrum and bifurcation diagrams reviewed and analyzed. The results show that at high temperatures, the rarefaction effect of the gas film increases and affects the steady state and dynamic behavior of the non-circular gas-lubricated micro bearing.