Lanchester equations that describe the “size effect” of casualties assume that the intra-structure of a force is perfect, which is sublated in this article. It puts forwards firstly an opinion formation dynamic model expressing the “synchronization effect” for value chain of combat of systems of systems (SoSs). It is a topological and characterized attributes-based methodology for presenting conceptions, such as battlefield variation, individual/shared cognition, self-synchronization and equilibrium in combat of SoSs, and the “synchronization fragility” of scale-free network under equilibrium is found in simulation of combat of SoSs.