The rod fastening rotor system of gas turbine is provided with rich dynamic characteristics. In this paper, the effect of various parameters is considered for multi-disk rod fastening rotor system. Dynamic behavior analysis of multi-disk rod fastening rotor system is conducted under different bifurcation parameters. Based on the dynamic model of rod fastening rotor system with rub-impact, simulation analysis of dynamic behavior is developed under various system parameter changes for the multi-disk rod fastening rotor system. The influence trend of system parameters on dynamic behavior is studied based on bifurcation diagrams and Largest Lyapunov exponent under different bifurcation parameters. The results indicate that system parameters have a significant impact on the dynamic behavior of multi-disk rod fastening rotor system. As the bifurcation parameters change, the rod fastening rotor system undergoes evolution between periodic motion, quasi-periodic motion, and chaos. The research results contribute to the identification of dynamic behavior and fault diagnosis of gas turbine rotor systems.