By measuring the distance between the stable manifold and the unstable manifold of the hyperbolic fixed point in the Poincare map, it is shown whether the system has transversaUy homoclinicpoints and chaos in the sense of Smale horseshoes.

Melnikov方法是用來判定一個系統(tǒng)是否存在Smale馬蹄意義下的混沌的一種有效的數(shù)學(xué)方法，它通過測量Poincare映射的雙曲不動點(diǎn)的穩(wěn)定流形與不穩(wěn)定流形之間的距離來判定系統(tǒng)橫截同宿點(diǎn)的存在性及Smale馬蹄意義下的混沌的存在性亚洲美女黄又黄免费观看网站视频。

In order to determine the Poincare normal form of linear operator in the operator differetial equation, we need to reduce the vector-value function to the two dimensional case on center manifold.

要證明以上的結(jié)論国产一级片免费手机在线视频，我們所采用的方法是[24]中的Hopf分支定理所給出的判斷Hopf分支存在性及分支周期解穩(wěn)定性方法亚洲黄色视频xxxx黄。

poincare manifold：龐加萊廖

poincare lemma 龐加萊引理 | poincare manifold 龐加萊廖 | poincare matrix 龐加菜矩陣