In order to generate the coexisting attractor, a new Chen system is constructed by adding a product term to the first equation of Chen system, and each equation has a nonlinear term. Matlab simulation shows that the new Chen system is not only the coexistence attractor phenomenon of various types, but also the inverse periodic bifurcation phenomenon and abundant chaotic characteristics. For the application of the new Chen system,the simulator circuit and STM32 digital circuit are designed, and the numerical simulation is consistent with the physical experiment.