拓撲擴張 的英文怎麼說
中文拼音 [tàpūkuòzhāng]
拓撲擴張
英文
topological extension-
Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。The present paper shows that a class of continuous maps on circles which is extensiver than expand maps is topological stable. and its inverse limit systems are expansive
摘要討論圓周上一類比擴張映射更廣泛的連續映射，證明這種映射是拓撲穩定的， ?且其逆極限系統是可擴的。In section 2, we study the fixed point, stable set and unstable set of this system. for given parameters a trapping region is found with the property that any interval of unstable set will be expand under the map, so we get the conclusion that the system has infinitely many homoclinic orbits. as a consequence of the previous conclusion, we discuss the attractor of the system
在本文中，我們討論了一個分段線性模型，它是物理學中用來模擬r - l - diode電路行為的數學方程，通過研究，我們得到該系統的一些拓撲性質以及符號動力學中的一些結論，主要內容如下：在第二節中，我們對給定的參數值，通過數值計算研究了該系統的不動點，不動點附近的穩定集與不穩定集，發現該系統中存在一個捕捉區域：該區域中的不穩定流形總體上是擴張的。
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