以下为句子列表：
英文: Abstract: In the paper, bifurcation phenomena of one kind of reaction-diffusion equations are investigated. Used singularity theory based on the method of L-S(Liapunov-Schmidt), satisfactory results are obtained.
中文: 文摘:文章讨论了一类反应扩散方程的分歧(分岔)现象.运用所谓基于L-S(李雅普诺夫-施密特)约化的奇异理论方法,得到了满意的结果.
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英文: According to the bifurcation diagram, the effects of parameters disturbance on system performance are discussed, and the sufficient condition of occurring border collision bifurcation is given.
中文: 借助分岔图讨论稳定区域附近参数变化对系统特性的影响，给出边界碰撞分岔产生的条件。
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英文: Bifurcation —— The graphical representation in a phylogenetic tree of an evolutionary eciation event whereby an ancestral taxon lits into two.
中文: 分歧点——在演化的种形成事件中，物种由相同来源一分为二，其在种系发生树中的图示点。
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英文: Bifurcation —— The graphical representation in a phylogenetic tree of an evolutionary speciation event whereby an ancestral taxon splits into two.
中文: 分歧点——在演化的种形成事件中，物种由相同来源一分为二，其在种系发生树中的图示点。
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英文: Bifurcation phenomenon of the nonlinear equation f(x,λ)=(x x +λx +λ ,-x -x ) T=0 near the origin is studied by using LS reduction and Newton′s diagram,three branches bifur cating equilibrium point is obtained.
中文: 利用LS简约和Newton图研究了非线性方程 f(x ,λ) =(xx +λx +λ ,-x-x ) T =0 在原点附近的分岔现象 ,得到了从平衡点分枝出来的全部实的三个解枝 .
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