分歧理论 bifurcation theory
- 分歧理论是研究非线性系统的一种有效的数学工具。
Bifurcation theory is a useful mathematic method in studying nonlinear system. - 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. - 应用分歧理论及拓扑度理论的方法,得到了定态分歧解的存在性、唯一性及稳定性。
The results concerning the existence, the uniqueness and the stability of stationary bifurcation solutions have been obtained by the bifurcation theory and topological degree theory.
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