heteroclinic point 中文意思是什麼

heteroclinic point 解釋
異宿點
  • point : n 1 尖頭，尖端；尖頭器具；〈美國〉筆尖；接種針，雕刻針，編織針；小岬，小地角；【拳擊】下巴。2 【...
  1. Within the homoclinic orbit or heteroclinic orbit, the analytical expression of one set of periodical track surrounding the center - type singular point is worked out

    得到了同宿軌道或異宿軌道內的，圍繞中心型奇點的一族周期軌道的解析表達式。
  2. This paper is concerned with, the existence and stability of travelling wave solutions for the viscous balance law which is an extension of viscous conservation law where a reaction term g ( u ) is added. l ) the existence of travelling wave solutions by geometric singular perturbation method, we investigate the existence of travelling waves ( a2 ) connecting a saddle point and a sink point and the existence of viscous shock waves c connecting two adjacent or disadjacent saddle points. by giving a detailed analysis of the fast and slow manifolds and verifying the transversality of the intersection of singular stable and unstable manifolds of the reduced problem along the singular heteroclinic orbit, we obtain the existence of travelling waves ( a2 ) in the case of a convex flow function / and that of viscous shock waves c under the assumption that f " is bounded

    主要結果如下： 1 ）行波的存在性本文利用[ 37 ]中幾何奇異攝動理論，通過仔細分析= 0時的快流、慢流，驗證= 0時慢流方程的穩定與不穩定流形橫截相交於奇異異宿軌道，先在f為凸的條件下嚴格證明了（ ）存在連接不相鄰的鞍點、結點的行波（ a2 ） ；然後在地f有界的條件下得到（ ）存在連接鞍點（包括相鄰和不相鄰）的粘性沖擊波c ，彌補了[ 11 ]缺少嚴格證明的不足，並推廣了[ 11 ]在f為凸的條件下得到的粘性沖擊波的存在性結果。
  3. Every result in the paper is presented through specific analytic expression, including the analytic expression of homoclinic orbit or heteroclinic orbit and its melnikov function, analytical expression of periodical track surrounding the center - type singular point within the homoclinic orbit or heteroclinic orbit and its melinkov function, the critical value when periodical m point appears, the critical value when smale horseshoes chaos appears, etc.

    文中的各個結果均以具體的解析形式給出，其中包括同宿軌道或異宿軌道的解析表達式及其melnikov函數；同（異）宿軌道內圍繞中心型奇點的周期軌道的解析表達式及其melnikov函數；出現周期m點的臨界值；出現smale馬蹄混沌的臨界值等。
  4. Nature of the singular point of plane poincare mapping that is established by equation ( 1 ) is analyzed. relationship between the three parameters and homoclinic orbit and heteroclinic orbit of the hamilton system corresponding to this sort of equation is discussed. the adequate and essential condition of the existing homoclinic orbit or heteroclinic orbit for the hamilton system is presented

    分析了方程（ 1 ）建立的平面poincare映射的奇點性質，討論了此類方程對應的hamilton系統的同宿軌道和異宿軌道與三個參數o 、夕、屍的關系，給出了hamilton系統存在同宿軌道或異宿軌道的充分必要條件。
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