hopf 中文意思是什麼
hopf
解釋
賀普夫-
An analysis of hopf bifurcation in a chaotic system
一個混沌系統的霍普夫分叉分析 -
On noncommutative hopf - galois extensions
一致局部上同調零化子和多項式擴張 -
Also according to the basic solution matrix, hopf bifurcation of is investigated by creating subsequence functions, the measure of which differs from that of autonomous system. in the paper i apply myself to seek out a new idea to investigating heteronymous system that is no longer stickled in autonomous system
同樣以這個基本解方陣為依據，本文接著研究二維周期系統的hopf分支，所用方法是構造后繼函數法，但在具體構造方法上，與自治系統的hopf分支不同，本文致力於探索一種不再拘泥於自治系統的，研究非自治系統hopf分支的新思路。 -
Categories of h - hopf bimodule coalgebras and categories of coalgebras
雙模余代數范疇與余代數范疇 -
In this paper we study the single - species chemostat model with time dilay. based on [ 8 ], we analyze the hopf bifurcation of the system which take the diluton as a parameter, and we obtain that under the conditon of the existence of positive equilibrium and if the dilution is too big or too small, the system will appear hopf bifurcation
在文[ 8 ]的基礎上，以模型中的流量為參數進行了hopf分支分析。得出了在正平衡點存在的條件下，當流量較大或較小時，系統的正平衡點附近會產生hopf分支，並應用中心流形和規范形理論給出了分支方向及分支周期解穩定性的計算公式。 -
The bifurcation analysis of the model depending on all parameter indication that it exhibits numerous kinds of bifurcation phenomena, including the saddle - node bifurcation, the supercritical and subcritical hopf bifurcation, and the lioinoclinic bifurcation. in the generic case, the model has the bifurcation of cusp type ol ' codimension 2 ( i. e. bogdanov - taken bifurcation ) but for some specific parameter values it has a multiple focus of multiplicity at least 2. and, we give the global analysis
本文考慮具非單調功能反應函數的捕食者?食餌系統，討論了系統的bogdanov - taken分支，給出了不同種類的分支現象，包括鞍-結點分支，上臨界與下臨界hopf分支，和同宿軌分支，並討論了無窮遠點的定性分析，給出了全局結構。 -
In 1951, h. hopf proved, by associating a holomorphic 2 - differential to each constant mean curvature surfaces in r3, that only compact genus zero surfaces immersed in r3 with constant mean curvature are the round sphere, in chapter two, we consider the same question about the compact 2 - type surfaces of genus zero in s7
1951年， h . hopf發現r ~ 3中每個常平均曲率曲面都伴隨一個全純微分2 -形式，並證明了零虧格的常平均曲率閉曲面一定是r3中的球面.本文的第二章對于獷中零虧格的2型曲面討論了類似的問題 -
We can give different structures on a tensor product h q to make it a bialgebra or hopf algebra. in [ 1 ] radford constructed a hopf algebra a x h with the smash algebra structure and the smash coproduct coalgebra structure, and pointed out that if a bialgebra b has a hopf subalgebra h and a projection ! : b - - > h, then there must be a subalgebra a of b such that b @ a x h is a bialgebra isomorphism
在張量積hq上可以給出不同的構造，使它成為雙代數或hopf代數， radford在文獻[ 1 ]中構造了以smash積為代數結構，余smash積為余代數結構的hopf代數a h ，並指出若b是雙代數， h是b的子hopf代數，且存在投射： b h （即是雙代數同態，且| _ h = id _ h ） ，則一定存在b的子代數a ，使ba h是雙代數同構。 -
The author discusses the duality theorem of infinite dimensional hopf algebras in braided tensor categories in the first chapter, and shows the theorem by the use of braiding diagram
本文第一章討論了辮子張量范疇中無限維hopf代數的對偶定理，應用辮子圖對此定理給出證明，得到如下結果：命題2 -
Application research of hopf bifurcation theorem in nonlinear oscillation circuits
分叉定理在非線性振蕩電路中的應用 -
Weak global dimension of smash products of hopf algebras
代數的沖積的弱整體維數 -
Numerical approximation of hopf bifurcation for delay logistic differential equation
分支參數值的數值逼近 -
Moreover, with the method of emerging hopf bifurcation of the system, the analytic conditions that the low - dimension continuous autonomous chaotic systems controlled by the project are given in theory. applying the conclusions we got to the practical systems, the method is shown by the theoretical description and numerical calculation that it is effective
其次，從實際應用出發，提出了一種增強型的延遲變量反饋控制方案，同樣利用分析延遲系統產生hopf分支條件的方法，也給出了當用這種方案控制低維連續自治混沌系統時，在達到控制目標的條件下，控制參數間的一般解析關系。 -
Finally, this paper set up the substitute model between the new technology and the old one and studied characteristic of the diffusion system applied system dynamic method such as the stable points and phase portrait and hopf bifurcation and limit cycle of it. then studied the probability distribution function of them, and the probabilistic equation of this system
最後建立了四川大學碩士畢業論文創新技術和舊技術的技術更替模型，並運用系統動力學的方法分析了擴散系統在其不動點附近的變化特徵和相圖以及改進系統的hopf分支、極限環等性質，討論了新舊技術的概率分佈，並且將動力學方程轉化為概率方程進行分析。 -
Twist of the category of right - doi - hopf modules
模範疇上的扭曲 -
In the first section, we introduce some knowledge we need in this article. they are the definitions of quasitriangular hopf algebra. triangular hopf algebra. the theorem of the property of their modules category, and the property of r. in the second section
第一部分中，介紹了本文所需要的預備知識，主要是擬三角、三角hopf代數的定義，他們的模範疇的性質定理，以及r的性質。 -
The main content of this paper is the cohomologies and extensions over triangular hopf algebra. according to [ l ], we consider the cohomologies and extensions and then the relationships between them in the category of the modules of triangular hopf algebra h. and the category is a symmetry monoidal category
論文主要考慮的內容是上同調與擴張，根據文獻[ 1 ] ，具體的考慮作為對稱的monoidal范疇的三角hopf代數h的模範疇的上同調與擴張及它們之間的關系。 -
Then we have : theorem 1 provided that h = be a weak hopf - coalgebra ; then we have : in the third section, we mainly study the - comudules : the weak hopf - comodules ; and we get the main results as : theorem 2 suppose c is a - coalgebra, then we say : ( a ) there is a one - to - one correspondence between ( isomorphic classses of ) right - comoduleover c and ( isomorphic classes of ) rational - graded left c * - modules
為c在訂上的模作用，它在直和項上的模作用形式為：上面三步影射依次為： z嗆p （叩廣。 ，山二clmhxclmhx ；吮z ；麗，遲兒的；是指q與c之間的自然匹配定理2設c為7t一余代數，則以下結論成立： （ a ） c上的右。 -
In this paper we discuss the hopf structure of a class of skew group algebras, characterize some properties of an important skew group algebra
本文討論了一類斜群代數的hopf結構，刻劃了一個重要的斜群代數的某些性質，得到的主要結果如下：命題1 -
We use the poincare - andronov - hopf bifurcation theorem to prove that there is an invariant curve in the center manifold when the coupling coefficient e is small enough
利用poincar - andronov - hopf分支定理證明系統有弱空間耦合時在中心流形上存在不變圈。
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