中文摘要：

采用Khasminskii极限定理,随机平均法和FPK方程,研究了能源价格系统在随机干扰作用下的Hopf分岔特性,得到了分岔参数,并讨论了分岔参数对系统性态的影响.进而得出能源经济系统的相关结论.

英文摘要：

In this paper, we applied the limit theory of Khasminskii, the stochastic average method and FPK equation to study the Hopf bifurcation of stochastic system for energy price. The critical value of the stochastic Hopf bifurcation parameter was obtained, and the influence of bifurcation parameters on the system was also discussed. The relevant conclusions for energy economic system were reached.