HOMEOMORPHISM

作品数：59被引量：41H指数：3
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相关领域：理学更多>>
相关作者：戴志娟张文跃刘颖范更多>>
相关机构：扬州教育学院辽宁师范大学南京大学南京航空航天大学更多>>
相关期刊：《Wuhan University Journal of Natural Sciences》《Chinese Physics B》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》更多>>
相关基金：国家自然科学基金湖北省自然科学基金中国博士后科学基金河北省自然科学基金更多>>
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Birkhoff Orbits for Twist Homeomorphisms on the High-Dimensional Cylinder
《Wuhan University Journal of Natural Sciences》2025年第1期43-48,共6页ZHOU Tong 
Supported by the National Natural Science Foundation of China(12201446);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(22KJB110005);the Shuangchuang Program of Jiangsu Province(JSSCBS20220898)。
It is known that monotone recurrence relations can induce a class of twist homeomorphisms on the high-dimensional cylinder,which is an extension of the class of monotone twist maps on the annulus or two-dimensional cy...
关键词：monotone recurrence relation twist homeomorphism high-dimensional cylinder bounded action Birkhoff orbit 
Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus
《Communications in Mathematics and Statistics》2015年第3期291-314,共24页Jiehua Mai Song Shao 
The first author is supported by the Special Foundation of National Prior Basis Research of China(Grant No.G1999075108);the second author is supported by National Natural Science Foundation of China(11171320 and 11431012).
In this paper we give a new and elementary proof to the following fact:each closed orientable surface of positive genus admits a both chaotic and expansive homeomorphism.Further more,we show that the homeomorphisms gi...
关键词：Expansive homeomorphism Chaotic homeomorphism Closed orientable surface 
The ACL Property of Homeomorphisms under Weak Conditions
《Acta Mathematica Sinica,English Series》1998年第4期473-480,共8页Fang Ainong, Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China 
Project supported by the National Natural Science Foundation of China and JTU
Suppose that D is a domain in (n 2) and y= f(x): D → R^n is a homeomorphism. We prove that if the modulus dilatation K(x, f) satisfies the condition A then f(x) is ACL.
关键词：Quasiconformal mappings ACL-property HOMEOMORPHISM 
On the Compactness of Homeomorphisms with Integrable Dilatations
《Acta Mathematica Sinica,English Series》1998年第2期161-168,共8页Fang Ainong (Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200030,China) 
Supported by the National Natural Science Foundation of China ;the Dctoral Foundation of the Education Commission of China
In this paper,a distortion theorem and some equicontinuity and compactness theorems are obtained for the homeomorphism f with the sphere dilatation H（x,f）∈Lloc（D）.
关键词：Quasiconformal mappings Distortion theorem COMPACTNESS μ-homeomorphism 
ORIENTATION-REVERSING 2-PERIODIC SELF-HOMEOMORPHISMS OF ORIENTABLE CLOSED SURFACES
《Chinese Science Bulletin》1992年第8期627-631,共5页麦结华 
Kerékjártó[1, pp. 224—226] showed that every periodic self-homeomorphism of a disk is topologically conjugate to either a rotation or a reflection, which is restated by Brechner in Ref. [2]. According to this conc...
关键词：orientable closed surface orientation-reversing PERIODIC self-homeomorphism topological CONJUGATE quasi-reflection. 
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