heteroclinic orbit 中文意思是什麼
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On heteroclinic orbit and progressive wave solution of a class of nonlinear partial differential equations
的降低和共存區域范圍變小的結論;證實了在一定的總能范圍內類固 -
Based on the normal form obtained above, a global perturbation method is utilized to give the analysis for the global bifurcations and chaotic dynamics of the rotor - ambs system. the global bifurcations analysis indicates that there exist the heteroclinic bifurcations and the silnikov - type homoclinic orbit in the averaged equations
利用全局攝動法研究了電磁軸承-轉子系統的全局分叉和混沌動力學，利用數值模擬方法分別對平均方程和原方程進行了分析，得到了的描述系統混沌運動的相圖和波形圖，從而驗證了理論結果的正確性。 -
An analytical expression of homoclinic orbit or heteroclinic orbit is worked out
得出了同宿軌道或異宿軌道的解析表達式。 -
By using melnikov method, the melnikov function of homoclinic orbit or heteroclinic orbit is calculated and established
應用melnikov方法，計算並建立了同宿軌道或異宿軌道的melnikov函數。 -
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。 -
The quadratic nonlinear term and the cubic nonlinear term that coexist in equation ( 1 ), thus causes difficulty in studying this sort of system through the analytical method and correspondingly makes the solution of analytical expression of homoclinic orbit or heteroclinic orbit in hamilton system extremely difficult
二次非線性項和三次非線性項共同存在於方程（ 1 ）中，使得用解析方法研究這類系統的難度增大，對應hamilton系統中的同宿軌道或異宿軌道的解析表達式的求解相當困難。 -
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。 -
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。 -
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。 -
All of these reveal the further properties of the wave propagating in one - dimensional elastic continuum. on phase plane, the qualitative analysis are made, which exhibits four kinds of orbits : the heteroclinic orbit of burgers equation, the homoclinic orbit of k - dv equation, and saddle - foci heteroclinic orbit or saddle - joint heteroclinic orbit of kdv - burgers equation
說明burgers方程在相平面上有相應于激波解的異宿軌道; k ~ dv方程有相應于孤波解的同宿軌道: kdv一buegers方程有相應于振蕩孤波解的鞍一焦異宿軌道和相應于激波解的鞍一結異宿軌道。 -
The global bifurcation analysis of the nonlinear nonplanar cantilever is given by a global perturbation method developed by kovacic and wiggins. it is found that the nonlinear nonplanar cantilever can undergo the hopf bifurcation, heteroclinic bifurcations and silnikov - type homoclinic orbit to saddle focus, which means that the nonlinear nonplanar cantilever can give rise to the chaotic motion in the sense of smale horseshoes
利用kovacic和wiggins的全局攝動法對非線性非平面運動懸臂梁進行了全局動力學分析，發現系統存在hopf分叉和異宿分叉，並證明系統有silnikov型鞍焦點型同宿軌道，可以產生smale馬蹄意義下的混沌。
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