perturbation mapping 中文意思是什麼
perturbation mapping
解釋
攝動映射- perturbation : n. 1. 慌張，動搖；混亂。2. 狼狽，不安，焦慮。3. 引起不安[混亂]的事物；引起動搖的原因。4. 【天文學】攝動；【物理學】微擾。adj. -al
- mapping : n. 【數學】映像，映射。
-
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。 -
To ensure all segments under construction to approach corresponding construction segmental reasonable states in both configuration and mechanics states and good behavior of structure after completion, escaping from all kinds of accidents in whole process of construction with high efficiency, safety, excellent quality of engineering achieved, the grey prediction model ngm ( 1, 1 ) was proposed to fit prediction of any raw grey series by studying grey causes and whitening results based on the normalized mapping rules ; random perturbation method of genetic algorithms was proposed to raise efficiency of forward rolling optimization ; simultaneous analysis of strength and stability was carried out to ensure safety of strength and stability
摘要為了保證實際施工中結構各節段在構形和受力狀態兩方面逼近施工節段合理狀態，避免事故發生，確保工程高效、安全、優質，基於歸一化映射規則，研究灰因和白果，提出了適應任意灰序列的灰預測模型ngm （ 1 ， 1 ） ；研究遺傳演算法的隨機攝動法，提高向前滾動優化效率；研究強度、穩定性的同步分析技術，保證施工過程強度、穩定性安全。
分享友人