Unlike static fuzzy systems, recurrent fuzzy systems are equipped with feedback loops and thus exhibit dynamic behaviors. The dynamics of a recurrent fuzzy system is largely determined by its rule base. The dynamic behavior of a significant subclass of recurrent fuzzy systems may be immediately deduced from their rule base, without need for analyzing their mathematical description. Their equilibrium points may be readily identified and their stability behaviors investigated based on their rule base. The investigations involved lead to convergence theorems and other statements that preclude chaotic dynamics.