We mainly study the relationship between the atomic entanglement evolution and cavity parameters,environment and energy exchange in a system which consists of two Bell-like entangled two-level atoms and a dual-mode cavity field.The results show that the entanglement evolution of two atoms exhibits periodicity,and it is related to the atomic initial state,the dipole-dipole interaction and the photon number in the dual-mode cavity field.It is also found that atomic entanglement will undergo the entanglement s...