saddle points 中文意思是什麼
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The dimers crawl up the potential basin away from the minimum and converge upon saddle points
二聚物查尋法將沿著從極小值點到馬鞍點的路徑運作。 -
These saddle points represent points of stagnation of the current flow.
這些鞍點代表電流的駐點。 -
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。 -
Secondly, calculation theory of construction for suspension bridge is presented under the ideal condition of dead load design. linetype change stiffness of cable and slip stiffness of supporting points are deduced based on segmental catenary theory. then numerical analysis method through sgkz2000 software are introduced in detail about calculating design linetype for suspension bridge, unstressed length of cable, erection linetype of cable and pre - displacement of saddle without loads, erection linetype of wire strands, the fixed position for erecting cable band and linetype of lifting stiffening girders
其次，根據懸索橋恆載設計理想狀態建立了懸索橋施工計算原理；以分段懸鏈線索理論為基礎，推導了懸索的線形變化剛度和懸索支點的滑移剛度；介紹了懸索橋成橋設計線形計算、吊索無應力長度計算、空纜線形與預偏量計算、絲股架設線形計算、索夾安裝位置計算和加勁梁吊裝線形計算的具體方法、數值演算法及軟體sgkz2000的計算模塊的實現。 -
Lagrange duality and saddle points theorem for multiobjective semidefinite programming
對偶與鞍點定理 -
Abstract : in this note, we obtain sufficient conditions that the set of saddle points are convex or closed in two - person zero - sum games
文摘:本文對兩人零和對策給出了其鞍點集是凸的或閉的充分條件 -
The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem
（ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。 -
In addition, by phase plane method we obtain the existence of travelling fronts ( al ) connecting two adjacent equilibria under the assumptions that f " is bounded and that of viscous shock waves c connecting two adjacent saddle points with / a convex function
另外，利用經典的相平面分析法，本文證明了（ ）在f有界時存在連接相鄰平衡點的波前（ a1 ）及在f為凸時存在連接相鄰鞍點的粘性沖擊波c 。 -
Bifurcations of rough heteroclinic loops with three saddle points
三點粗異宿環分支 -
In this paper, we mainly discuss the topological structure of several classes of special fourth polynomial differential systems with the first and the third critical singular point. as in paper [ l ], mr han yuliang have discussed the system in the first critical case and the system in the third critical case ( where b, a30 0 in system ( l ) and ( 2 ) ) here, we use the tools and method of paper [ l ], to study the system where, 040, b04r - { 0 }, where, 640, ao4r - { 0 }, 631, 622513, b04er for the system ( 3 ) and ( 4 ), because of their only one finite singular points, and they are saddle - nodes, we can easily give the result that there is no limit cycle in their phase portrait
本文主要是研究在第一及第三臨界情形下的幾類特殊四次多項式微分系統的全局拓撲結構，在文獻中，韓玉良主要考慮了第一臨界情形下的系統及第三臨界情形下的系統的全局結構，並畫出它們所有可能的全局相圖， （在（ 1 ） ， （ 2 ）中， b ： a _ （ 30 ） 0 ）本文根據文獻的工具和方法，考慮系統：其中，以及系統其中，這樣，由於等號右端多項式次數的增加，極限環的存在性問題變簡單了，但討論系統的全局結構時，特別是作全局相圖時，難度增大了。 -
We, in chapter 4, comprehensively discuss the dynamics of discrete chaotic neural networks, including f the existence of fixed points, the stable, unstable dynamics of the fixed point, the saddle - node and period doubling bifurcations in singie neuron model, and chaotic dynamics of the networks. the proofs and de - ductions involve schauder fixed point principle, constructions of lyapunov func - tions, bifurcation theory, contraction map principle, and anti - integrable limit method
在本文的第四章中，我們首先介紹了離散混飩神經元、神經網路模型由來與具體的數學模型，依次給出了該離散神經網路的中不動點存在性與惟一性的分析：穩定性與不穩定性的分析；神經元模型的分枝分析；神經網路中馬羅陀意義下混3屯動力學的分析
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