... Bifurcation Theory(分支理论); Qualitative Theory and Stability Theory of Differential Equations(微分方程定性理论与稳定性理论); Dynamical Systems(动力系统); ...
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Symmetry-Breaking Bifurcation Theory 对称破缺分歧理论
Bifurcation Theory of Limit Cycles 极限环分支理论
local bifurcation theory 局部分歧理论
nonlinear bifurcation theory 非线性分岔理论
method of bifurcation theory 分支理论方法
multi-parameter bifurcation theory 多参数分岔理论
This paper concerns with limit cycles in a cubic system. Four limit cycles are found and their distributions are studied by using the methods of bifurcation theory and qualitative analysis.
本文研究一类三次系统的极限环,利用分支理论与定性分析技巧发现这类系统有四个极限环,并给出了他们的分布。
参考来源 - 一类三次系统极限环的个数与分布The study of the number of limit cycles bifurcated from singularity cycle is an important problem in bifurcation theory.
奇异闭轨分支出极限环个数的研究是分叉理论的重要课题之一。
参考来源 - 双同宿环分支现象的研究Firstly,the application of bifurcation theory to the analysis of voltage stability is introduced.
首先介绍了分岔理论在电压稳定性分析中的应用。
参考来源 - 电力系统电压稳定性分析综述First,method determining relationship between state variables and eigenvalue is put forward with the help of homotopy function,and then small disturbance voltage instability mode considering induction motor load is strictly analysised by means of bifurcation theory.
提出应用同伦函数对小扰动分析中状态变量与特征值之间的对应关系进行判别,然后应用分叉理论引入分叉参数深入分析计及感应电动机负荷情况下的小扰动电压失稳模式。
参考来源 - 小扰动特征分析法在电压稳定分析中的应用The tools used here include super-sub solutions method, comparison principle, monotone system theory, global bifurcation theory, fixed-point theory of topology, Lyapunov-Schmidt procedure and perturbation technique.
所涉及的数学理论包括：上下解方法、比较原理、单调动力系统理论、全局分歧理论、拓扑不动点理论、Lyapunov-Schmidt过程和扰动理论等。
参考来源 - 两类生物模型的共存态和渐近行为·2,447,543篇论文数据，部分数据来源于NoteExpress
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