Abstract: Peak current-mode controlled synchronous switched converter has a wide range of applications in the industrial sector because of its excellent performance. The discrete iterative map model of peak current-mode controlled synchronous switched Boost converter is established in this paper. The relationship between the first bifurcation point and the strength of the controlled voltage source is derived. The research results show that the increase in the strength of controlled voltage source can affect the bifurcation and chaotic state, which realizes the movement of periodic orbits of the system. Finally, the impact on the stability of the synchronous switched Boost converter by changing the strength of controlled voltage source is verified by the circuit simulation and the experimental study.