EXPANSIVENESS

作品数：8被引量：5H指数：1
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相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Acta Mathematica Scientia》更多>>
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On the Centralizers of Rescaling Separating Differentiable Vector Fields
《Acta Mathematica Sinica,English Series》2024年第11期2671-2683,共13页Bo HAN Xiao WEN 
Supported by National Key R&D Program of China(Grant No.2022YFA1005801);National Natural Science Foundation of China(Grant No.12071018);the Fundamental Research Funds for the Central Universities。
In this paper,we introduce a new concept of expansiveness,similar to the separating property.Specifically,we consider a compact Riemannian manifold M without boundary and a C^(1)vector field X on M,which generates a f...
关键词：CENTRALIZER EXPANSIVENESS HYPERBOLICITY 
Topological Stability and Entropy for Certain Set-valued Maps
《Acta Mathematica Sinica,English Series》2024年第4期962-984,共23页Yu ZHANG Yu Jun ZHU 
Supported by NSFC(Grant Nos.11771118,12171400)。
In this paper,the dynamics(including shadowing property,expansiveness,topological stability and entropy)of several types of upper semi-continuous set-valued maps are mainly considered from differentiable dynamical sys...
关键词：Set-valued map orbit space hyperbolic endomorphism perturbation SHADOWING EXPANSIVENESS topological stability ENTROPY 
Forward Expansiveness and Entropies for Subsystems of Z^(k)_(+)-actions
《Acta Mathematica Sinica,English Series》2023年第4期633-662,共30页Yao Jia GUO Xin Sheng WANG Yu Jun ZHU 
Wang and Zhu are supported by NSFC (Grant Nos.11771118,11801336,12171400);Wang is also supported by China Postdoctoral Science Foundation (No.2021M691889)。
In this paper,forward expansiveness and entropies of"subsystems"2)of Z^(k)_(+)-actions are investigated.Letαbe a Z^(k)_(+)-action on a compact metric space.For each 1≤j≤k-1,denote G^(j)_(+)={V+:=V∩R^(k)_(+):V is a...
关键词：Z^(k)_(+)-action forward expansiveness j-dimensional subsystems ENTROPY preimage entropy folding entropy variational principle random transformation 
Topological Stability and Pseudo-orbit Tracing Property for Homeomorphisms on Uniform Spaces
《Acta Mathematica Sinica,English Series》2022年第2期431-442,共12页Ke Song YAN Fan Ping ZENG 
Supported by NNSF of China(Grant Nos.11861010,11761012);NSF for Distinguished Young Scholar of Guangxi Province(Grant No.2018GXNSFFA281008);supported by the Cultivation Plan of Thousands of Young Backbone Teachers in Higher Education Institutions of Guangxi Province;Program for Innovative Team of Guangxi University of Finance and Economics;Project of Guangxi Key Laboratory Cultivation Base of Cross-border E-commerce Intelligent Information Processing(Grant No.201801ZZ03)。
In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for homeomorphisms on compact uniform spa...
关键词：Topological stability pseudo-orbit tracing property EXPANSIVENESS uniform space 
The Symbolic Extension Theory in Topological Dynamics
《Acta Mathematica Sinica,English Series》2022年第1期107-136,共30页Tomasz DOWNAROWICZ Guo Hua ZHANG 
supported by National Science Center;Poland(Grant No.2018/30/M/ST1/00061);the Wroc law University of Science and Technology(Grant No.049U/0052/19);supported by National Natural Science Foundation of China(Grants Nos.11671094,11722103 and 11731003)。
In this survey we will present the symbolic extension theory in topological dynamics,which was built over the past twenty years.
关键词：Symbolic extension (symbolic)extension entropy function entropy structure superenvelope principal extension asymptotic h-expansiveness amenable group F?lner sequence tiling system quasi-symbolic extension residually finite group comparison property subexponential group 
Entropy-expansiveness of Geodesic Flows on Closed Manifolds without Conjugate Points被引量：1
《Acta Mathematica Sinica,English Series》2016年第4期507-520,共14页Fei LIU Fang WANG 
supported by NSFC(Grant Nos.11301305 and 11571207);the grant "2012KYTD" from Shandong University of Science and Technology;supported by NSFC(Grant No.11101294);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20111108120001);the grant of"Youxiu Rencai Peiyang Zizhu"(Class A)from the Beijing City
In this article,we consider the entropy-expansiveness of geodesic flows on closed Riemannian manifolds without conjugate points.We prove that,if the manifold has no focal points,or if the manifold is bounded asymptote...
关键词：Entropy-expansiveness geodesic flows manifolds without conjugate points 
SHADOWING,EXPANSIVENESS AND SPECIFICATION FOR C^1-CONSERVATIVE SYSTEMS被引量：1
《Acta Mathematica Scientia》2015年第3期583-600,共18页Mario BESSA Manseob LEE 文晓 
partially supported by National Funds through FCT-"Fundacao para a Ciencia e a Tecnologia",(PEst-OE/MAT/UI0212/2011);supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry,ICT&Future Planning(No.2014R1A1A1A05002124);supported by National Natural Science Foundation of China(No.11301018 and 11371046)
We prove that a Cl-generic volume-preserving dynamical system （diffeomor- phism or flow） has the shadowing property or is expansive or has the weak specification property if and only if it is Anosov. Finally, as in ...
关键词：SHADOWING EXPANSIVENESS SPECIFICATION GENERIC Anosov volume-preserving star systems 
The nonexistence of sensitive commutative group actions on graphs被引量：3
《Science China Mathematics》2007年第8期1197-1204,共8页Jie-hua MAI~1 En-hui SHI~(2+) 1 Institute of Mathematics,Shantou University,Shantou 515063,China 2 School of Mathematical Sciences,Suzhou University,Suzhou 215006,China 
the Special Foundation of National Prior Basic Researches of China(Grant No.G1999075108);partially supported by the National Natural Science Foundation of China(Grant No.10501042)
In this paper,we observe a special kind of continuous functions on graphs.By estimating the integrals of these functions,we prove that there are no sensitive commutative group actions on graphs.Furthermore,we consider...
关键词：HOMEOMORPHISM commutative group action graph map sensitivity EXPANSIVENESS infinite spiral curve 54H20 
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