transcritical bifurcation 中文意思是什麼

transcritical bifurcation 解釋
跨臨界分岔
  1. 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

    跨臨界分支描述性定義如下:跨臨界分支只可能發生於對任意參數都有奇點的含參數動力系統;當兩個穩定性不同的奇點相互碰撞時,兩個奇點的穩定性發生互換。
  2. 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,為了完整地得到系統的全局拓撲結構,本文利用跨臨界分支定理得到了一種特殊的高階奇點類型,即復雜奇點及復雜奇點。
  3. Folds, pitchfork bifurcation points, transcritical bifurcation points, etc. we propose a new approach to detection of bifurcation in one single parameter nonlinear problem

    分歧理論是非線性問題研究中的重要一環,近一、二十年來得到了突飛猛進的發展,可以說是成果斐然,方興未艾。
分享友人