We explore the mechanism and control behavior of how periodic information affects the stability of complex corporate financial systems from two viewpoints: the corporate life cycle and the stability of financial leverage risk. A complex corporate financial system model with correlated noise and periodic driving is proposed. Furthermore, two stability indicators are proposed to measure the stability of the corporate life cycle and the risk of corporate financial leverage. Stochastic simulation results show that enhancing the intensity and frequency of controllable periodic information can improve system stability. The stability of complex corporate life cycles and financial leverage risks exhibits opposite behaviors in terms of noise correlation. In addition, it is observed that there are specific threshold values of system parameters, and the relationship with the intensity of periodic information shows non-monotonic characteristics, manifesting peculiar phenomena and transition behaviors. Finally, by comparing with actual financial data, the proposed model is verified to be superior to the benchmark model.
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