鞍點定理 的英文怎麼說
中文拼音 [āndiǎndìnglǐ]
鞍點定理
英文
saddle point theorem-
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。In the last chapter, by introducing the isochronous center of real systems into complex planar and defining complex center and complex isochronous center, a concise linear recursion formula for period constants is given, necessary and sufficient conditions of complex isochronous center ( the time - angle difference theorem ) proved, conditions of real systems with linearizable center and saddle treated unitedly and the isochronous center conditions discussed fully for a class of real planar cubic systems
在第七章，通過把實系統等時中心引入復平面研究，定義了復中心和復等時中心，給出了等時中心周期常數計算的簡明的線性遞推公式，證明了等時中心判定的充分必要條件（時角差定理人統一地處理了實系統具有可線性化的中心和鞍點條件，並對一類實平面三次系統的等時中心條件進行了完整研究Lagrange duality and saddle points theorem for multiobjective semidefinite programming
對偶與鞍點定理The first part is based on modern theory of differential games of kind, and complexity of solving saddle point is avoided. the constructing of the barrier and the judgment of expected result is the key of the problem
第一部分基於現代定性微分對策理論，避免定量微分對策中復雜的求解鞍點過程，其關鍵在於構造界柵，確定期望結果是否能夠實現。To eliminate or lessen the system errors caused by the offset and slope of the thin aluminum sheet when measuring its surface, and to avoid over - cutting while machining the honeycomb surface, the saddle - point programming is applied to the position optimization of the theoretical surface. to generate the cnc program of the honeycomb sandwich, the equidistant calculation of the actual surface is produced and the data processing software is developed
利用鞍點規劃方法優化理論橢球面的位置，使實測曲面相對理論橢球面的最大法向誤差達到最小，減少或消除了蒙皮內表面測量時由於定位的偏心或歪斜引起的系統誤差，使誤差均化，防止了配對加工蜂窩夾芯表面時少切或過切現象的發生。In chapter three, some new glkkm type theorems are proved. these theorems are then applied to obtain some matching theorems, fixed point theorems, a minimax inequality and a saddle point theorem
在第三章中，我們證明了一些廣義l ? kkm型定理，然後運用它們得到了一些匹配定理，不動點定理，一個極大極小不等式以及鞍點定理As applications, some minimax inequalities and saddle point the - orems, fixed point theorems and section theorems, maximal element theorems and the existence theorems of equilibrium for abstract economies are obtained in l - convex spaces
作為應用，我們得到了新的極大極小不等式、鞍點定理、不動點定理、截口定理和極大元定理，並研究了抽象經濟的平衡存在性。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。At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces
首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。Especially, when the isocline of x is monotone decreasing in 0 < x < 1, the svstem has no limit cycle and is globally stable ; next, we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections, where our work are based on the theory of central manifolds and normal torms. we prove that is a codimention 3 focus - type equilibrium. system ( 6. 1 ) will have two limit cycles at some appropriate bifurcation parameter values, and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last, we study the qualitative properties of the system at infinite in the poincare sphere
因為系統在（ 0 ， 0 ）點處沒有定義，這給研究其在（ 0 ， 0 ）附近的動力學性質帶來了困難，我們應用文獻[ 17 ]中關于研究非線性方程奇點的系列理論和方法，圓滿解決了這一問題，給出了第一象限內當t +或t -時，在全參數狀態下系統的軌線趨于（ 0 ， 0 ）點的所有可能情況，其相圖也得以描繪；並且，系統不存在極限環的幾個充分條件我們也予以列出，當x的等傾線在0 x 1范圍內遞減時，系統不存在極限環，全局漸近穩定；然後，我們以中心流形定理和正規型方法為主要工具，巧妙選擇參數，分別構造了一個余維2的鞍點分岔和一個余維3退化bogdanov - takens分岔，證明了平衡點是余維3的焦點型平衡點，存在參數， m ，的值使得系統（ 6 . 1 ）有兩個極限環，還存在參數， m ，的另外值使得系統（ 6 . 1 ）有同宿軌或雙同宿軌。In chapter one, r - kkm mappings is discussed. the more general generalized l - r - kkm theorems are established in l - convex space. as applications, a minimax inequalities and a saddle point theorem are obtained in noncompact l - convex spaces
章中，研究了r - kkm映像，在l -凸空間中得到了更為一般的廣義l - r - kkm型定理，給出了對極大極小不等式和鞍點存在問題的應用。Through method of systems analysis and case analysis, this dissertation make overall analysis and research for international market strategy of anshan jinhaian building materials co., ltd, and finally set up possible market strategy related to jinhaian in consideration of international market strategy theory and situations of international & domestic market, also have a brief introduction of anshan jinhaian building materials co., ltd including situations of cultured marble and development strategy, discuss why to get into international market is necessary based on swot analysis and compare advantage theory including potential market attracting and pushing factors, and complete research of international market strategy by how to implement international market strategy ( covering analysis, planning, implement and control in process of implement ) in reliable and safe way, also provide four conditions ( including management, key competitive ability, brand strategy and organization changes ) to guarantee international strategy successfully
本論文採用系統分析法和案例分析法對鞍山金海安建材有限公司進入國際市場的戰略進行了全面地分析和研究，根據國際市場戰略的理論特點和國際國內的市場形勢並結合企業情況具體制定了企業的國際市場戰略，其中運用swot分析法及比較優勢理論對金海安公司進入國際市場的動因做了較為系統地闡述，並對國際市場戰略的實施和保障措施也做了針對實際的論述。通過上述的戰略研究，可以得出金海安公司進入國際市場是非常必要的，而只有努力制定可行的國際市場戰略，才能有效地保障企業成功進入國際市場。分享友人