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中文摘要：
研究具有扰动项的时滞物价瑞利模型的周期解分支问题．基于中心流形定理和平均法，讨论了Hopf分支产生周期解的稳定性，证明了在特定参数区域小周期扰动可以导致系统出现5种不同形式的周期解分支：调和解分支、次调和解分支、超调和解分支、超次调和解分支、拟周期解分支．
英文摘要：
In this paper, the periodic solution bifurcation of delay price Rayleigh model with periodic perturbation is studied. Based on center manifold theory and average method, the authors discuss the stability of the periodic solutions generated by the Hopf bifurcation, and also prove that, in certain parameter area, the system could appear five different periodic solution bifurcations, i.e. , harmonic solution bifurcation, subharmonic solution bifurcation, ultraharmonic solution bifurcation, ultrasubharmonic solution bifurcation and quasi periodic solution bifurcation.
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