From the viewpoint of quantum information theory, a multiatom and muticavity system was investigated. In the system the interaction between the atoms and the fi elds in the cavities is described by the intensity-dependent coupling Jaynes-Cummings model. It is found that the atomic maximal entangled state can be transformed into the maximal odd-even-like coherent entangled state, whereas the maximal odd-even-like coherent entangled state also can be transfor med into the atomic maximal entangled state.