Abstract: The dynamical behavior taking on single periodic oscillation state in BZ reaction was measured experimentally as the system′s stoichiometric coefficient μ=1. The dynamical behaviors of the system under external linear and periodic perturbation were theoretical investigated. The results show that the system has an unstable region when perturbation varies linearly, and the system only takes on single periodic oscillation state in the region. But the states of the system take on 2np periodic oscillation and chaos under external periodic perturbation, and the dynamical behavior of the system changes from period-doubling into chaos. The theoretical results are also verified by numerical simulation studies.