Based on previous observation, a dynamic adaptive cycle into gossip-based topology management is introduced to replace the traditional fixed cycle and a quick topology convergence method based on adaptive cycle is also proposed . In this method, those nodes featured with local topology stability send fewer gossip packets, while nodes in frequently changing environment send more packets. This dynamic adaptive method improves data exchange efficiency, saves network resources, enables faster local data exchange, and consequently speeds up the overall topology convergence. In detail, by using logistic curve as the basic control function of the adaptive cycle, rules for accidental events is defined accordingly. Simulation is presented to show the validity of this approach and that it is especially suitable for dynamic network environment.