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With the increase in size and application are of the communication network, more attention has been paid to the invulnerability of mobile ad hoc network. Based on studying deeply in the characteristic of mobile ad hoc network, analyzing the shortages in invulnerability algorithm previously, this paper presents a mathematically tractable model of node motion to derive a precise relation between mobility and connection stability. We improve the first order energy consumption model with dynamic clustering firstly and then build a incidence matrix to depict the connectivity of the network nodes in a dynamic network model. Finally, we simulate the network invulnerability related to time. As a result, it validates the high invulnerability of the dynamic clustering ad hoc networks.