分歧理论 meaning in English
bifurcation theory
Examples
- Methods using the decoupling and global bifurcation theory
方法解耦和全局分歧理论等。 - Folds , pitchfork bifurcation points , transcritical bifurcation points , etc . we propose a new approach to detection of bifurcation in one single parameter nonlinear problem
分歧理论是非线性问题研究中的重要一环,近一、二十年来得到了突飞猛进的发展,可以说是成果斐然,方兴未艾。 - Model2 is also concerned with steady - state equations of an extended class of predator - prey systems with diffusion , i . e . this model is less sophisticated than model1 , but we investigate it far more deeply
模型2仍是一类捕食系统的平衡态方程,即比模型1简单,但进行了更深入的研究,本文第二部分利用局部分歧理论的技巧卜’证明了系统在半平凡解… 。 - A necessary and sufficient condition for coexistence of positive periodic solutions is obtained . the result we get can be seen an extension of [ 30 ] . in this paper , we partially bring new ideas in the model establishing and some methods of proof
我们利用周期抛物型算子理论l ” ,解耦方法皿1 , schauder估计舶和分歧理论山‘ ’解决了周期捕食食饵系统的正解的共存态,得到了系统正周期解存在的一个充要条件 - With the usage of degree theory in [ 1 ] , calculating indices of fixed points of compact maps in cones of [ 2 - 10 ] and combining with bifurcation theories [ 11 - 19 ] , maximum principles [ 17 ] [ 19 ] , lower - upper solutions methods [ 20 - 22 ] and spectrum analysis of operators [ 23 - 24 ] , we get some results of the coexistence solutions for modell in the first section . the results can be seen extensions of [ 7 ] [ 23 ]
利用文献[ 1 ]中度理论、 [ 2 - 10 ]中锥映象不动点指数方法,并结合分歧理论,极值原理,上下解方法和算子谱分析等,在文中第一部分讨论了其平衡解的存在性,部分推广了文献[ 7 ] [ 23 ]的结论。