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SETS: 作品数：667被引量：723H指数：11; 导出分析报告; 相关领域：理学更多>>; 相关作者：王丹肖卫东吴孟达周城汤大权更多>>; 相关机构：国防科学技术大学中国标准化研究院陕西师范大学中国科学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划国家教育部博士点基金更多>>

Volume of Singular Hyperbolic Sets: 《Acta Mathematica Sinica,English Series》2021年第10期1507-1512,共6页Dao Fei ZHANG Yun Tao ZANG; support of Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice;the Project funded by China Postdoctoral Science Foundation(Grant No.2020TQ0098)。; Let X be a C^(1+)vector field on a compact Riemannian manifold M with dimension d≥3.LetΛbe a transitive singular hypebolic set with positive volume.We show thatΛ=M andΛis a uniformly hyperbolic set without singula...; 关键词：Uniformly hyperbolic singular hyperbolic VOLUME

Diskcyclicity of Sets of Operators and Applications: 《Acta Mathematica Sinica,English Series》2020年第11期1203-1220,共18页Mohamed AMOUCH Otmane BENCHIHEB; In this paper,we introduce and study the diskcyclicity and disk transitivity of a set of operators.We establish a diskcyclicity criterion and give the relationship between this criterion and the diskcyclicity.As appli...; 关键词：HYPERCYCLICITY supercyclicity diskcyclicity C0-semigroups of operators C-regularizedgroups of operators

Nodal Sets and Doubling Conditions in Elliptic Homogenization: 《Acta Mathematica Sinica,English Series》2019年第6期815-831,共17页Fanghua Lin Zhongwei Shen; supported in part by NSF(Grant No.DMS-1501000);supported in part by NSF(Grant No.DMS-1600520); This paper is concerned with uniform measure estimates for nodal sets of solutions in elliptic homogenization. We consider a family of second-order elliptic operators {L_ε} in divergence form with rapidly oscillating...; 关键词：NODAL SETS HOMOGENIZATION doubling CONDITION

Quasi-shadowing Property on Random Partially Hyperbolic Sets被引量：2: 《Acta Mathematica Sinica,English Series》2018年第9期1429-1444,共16页Lin WANG Xin Sheng WANG Yu Jun ZHU; supported by NSFC(Grant Nos.11371120 and 11771118);supported by Fundamental Research Funds for the Central University,China(Grant No.20720170004); Abstract In this paper we investigate the quasi-shadowing property for C1 random dynamical sys-terns on their random partially hyperbolic sets. It is shown that for any pseudo orbit {xk}＋∞ -∞ on a random partially ...; 关键词：Quasi-shadowing property random partially hyperbolic set local product structure

Aubry–Mather Sets for Relativistic Oscillators with Anharmonic Potentials: 《Acta Mathematica Sinica,English Series》2017年第3期439-448,共10页Guang Hua SHI; Supported by the NNSF(Grant No.11371132);Key Laboratory of High Performance Computing and Stochastic Information Processing; In this paper, by the Aubry-Mather theory, it is proved that there are many periodic solutions and usual or generalized quasiperiodic solutions for relativistic oscillator with anharmonic potentials models d/dt（x/√1...; 关键词：Aubry-Mather sets QUASIPERIODIC RELATIVISTIC

Quasisymmetric Mappings on Moran Sets被引量：1: 《Acta Mathematica Sinica,English Series》2015年第9期1424-1434,共11页Yanzhe LI; Supported by NSFC(Grant Nos.11071224,11201155);Guangxi Colleges and Universities Key Laboratory of Mathematics and Its Applications; This paper studies the quasisymmetric mappings on Moran sets. We introduce a gener- alized form of weak quasisymmetry and prove that, on Moran set satisfying the small gap condition, a generalized weakly quasisymmetri...; 关键词：Quasisymmetric mapping weakly quasisymmetric mapping Moran sets

Diference Systems of Sets Based on Cosets Partitions: 《Acta Mathematica Sinica,English Series》2013年第12期2261-2272,共12页Geng Sheng ZHANG Hong Rui WANG; Supported by Natural Science Foundation of Hebei Province(Grant No.A2013205073); Difference systems of sets （DSS） are combinatorial configurations that arise in connection with code synchronization. This paper proposes a new method to construct DSSs, which uses known DSSs to partition some of th...; 关键词：Difference systems of sets code synchronization difference set COSET OPTIMAL

An Equivalent Condition for the Self Similar Sets on the Real Line to Have Best Coverings: 《Acta Mathematica Sinica,English Series》2013年第9期1637-1646,共10页Jian Dong YIN Zuo Ling ZHOU; Supported by National Natural Science Foundations of China (Grant Nos. 10971236, 11261039); In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., F...; 关键词：Self similar set open set condition upper convex density best covering

Clique-Transversal Sets in 4-Regular Claw-Free Graphs被引量：2: 《Acta Mathematica Sinica,English Series》2011年第5期883-890,共8页Er Fang SHAN Li Ying KANG; Supported by National Natural Science Foundation of China （Grant No. 60773078）, the PuJiang Project of Shanghai （Grant No. 09PJ1405000） and Key Disciplines of Shanghai Municipality （Grant No. $30104）; A clique-transversal set D of a graph C is a set of vertices of G such that D meets all cliques of G. The clique-transversal number, denoted by To（G）, is the minimum cardinality of a clique- transversal set in G. In...; 关键词：Clique-transversal set claw-free graph line graph regular graph

Finiteness of Mapping Degree Sets for 3-Manifolds被引量：2: 《Acta Mathematica Sinica,English Series》2011年第5期807-812,共6页Pierre DERBEZ Hong Bin SUN Shi Cheng WANG; The third author is partially supported by National Natural Science Foundation of China （Grant No. 10631060） and Ph.D. grant of the Ministry of Education of China （Grant No. 5171042-055）; By constructing certain maps, this note completes the answer of the question： For which closed orientable 3-manifold N, is the set of mapping degrees D（M, N） finite for any closed orientable 3-manifold M？; 关键词：3-Manifolds mapping degrees FINITENESS

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