transcritical bifurcation meaning in Chinese
跨临界分岔
Examples
- By the way , there is something deserves to be mentioned : by means of transcritical bifurcation , we get a special type of critical point
值得一提的是,为了完整地得到系统的全局拓扑结构,本文利用跨临界分支定理得到了一种特殊的高阶奇点类型,即复杂奇点及复杂奇点。 - 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。 - Using exponential trichotomy and the local geometrical expressions ofinvariant manifolds , the conditions are given for the persistence andtransversality of orbits situated in a heteroclinic manifold withequilibria undergoing transcritical bifurcations
本文应用指数三分性和不变流形的局部几何表示方法,给出异宿流形上的轨道当两个奇点经历超临界分支和摄动时保存和横截的条件 - Here is a short description about transcritical bifurcation : the transcritical bifurcation only happens when the system has an equilibrium that exists for all values of the parameter and can never be destroyed . when this equilibrium collides with another equilibrium , the two equilibria exchange their stability property , but continue to exist both before and after the bifurcation
跨临界分支描述性定义如下:跨临界分支只可能发生于对任意参数都有奇点的含参数动力系统;当两个稳定性不同的奇点相互碰撞时,两个奇点的稳定性发生互换。