The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
Singularity Theory and Universal Unfolding Method were used to study the bifurcation characteristics of the static bifurcation equations.
运用奇异性理论和普适开折方法对其分岔特性进行了研究。
The bifurcation would occur in the nonlinear dynamical systems. The theory of bifurcation provides us a new method to explore the strange phenomena in the social-economic systems.
在非线性动态系统中可能出现分岔现象，分岔理论为我们研究社会经济系统中的某些异常现象提供了一种新方法。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
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