Exponential decay of expansive constants 被引量：1

Exponential decay of expansive constants

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摘要 A map f on a compact metric space is expansive if and only if fn is expansive.We study the exponential rate of decay of the expansive constant of fn and find some of its relations with other quantities about the dynamics,such as box dimension and topological entropy. A map f on a compact metric space is expansive if and only if fn is expansive. We study the exponential rate of decay of the expansive constant of fn and find some of its relations with other quantities about the dynamics, such as box dimension and topological entropy.

作者 SUN Peng

机构地区 China Economics and Management Academy

出处《Science China Mathematics》 SCIE 2013年第10期2063-2067,共5页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China(Grant No.11101447)

关键词 expansive expansive constant GENERATOR exponential decay Lebesgue number box dimension topological entropy 指数衰减常数膨胀紧度量空间数量关系拓扑熵

分类号 O189.11 [理学—基础数学] TN104.3 [电子电信—物理电子学]

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参考文献8

1Katok A, Hasselblatt B. Introduction to the Modern Theory of Dynamical Systems. Cambridge: Cambridge University Press, 1995.
2Sun P. Exponential decay of Lebesgue numbers. Discret Contin Dyn Syst Ser A, 2012, 32: 3773-3785.
3Walters P. An Introduction to Ergodic Theory. New York: Springer-Verlag, 1982.
4SUN Peng.Exponential decay of expansive constants[J].Science China Mathematics,2013,56(10):2063-2067. 被引量：1
5HE WeiHong,YIN JianDong,ZHOU ZuoLing.On quasi-weakly almost periodic points[J].Science China Mathematics,2013,56(3):597-606. 被引量：8
6WANG HuoYun,LIU Xin,FU HeMan.Chaos and null systems[J].Science China Mathematics,2013,56(3):607-618. 被引量：2
7SHEN YiBing,ZHAO Wei.On fundamental groups of Finsler manifolds In memory of the centenary birthday of Professor S.S.Chern[J].Science China Mathematics,2011,54(9):1951-1964. 被引量：4
8REN YunLi,HE LianFai,LV JinFeng,ZHENG GuoPing.Topological r-entropy and measure-theoretic r-entropy of a continuous map[J].Science China Mathematics,2011,54(6):1197-1205. 被引量：5

二级参考文献35

1MO Xiaohuan YANG Yunyan.The existence of harmonic maps from Finsler manifolds of Riemannian manifolds[J].Science China Mathematics,2005,48(1):115-130. 被引量：8
2SHEN Yibing ZHANG Yan.Second variation of harmonic maps between Finsler manifolds[J].Science China Mathematics,2004,47(1):39-51. 被引量：10
3Katok A, Hasselblatt B. Introduction to the Modern Theory of Dynamical Systems. Cambridge: Cambridge University Press, 1995.
4Sun P. Exponential decay of Lebesgue numbers. Discret Contin Dyn Syst Ser A, 2012, 32: 3773-3785.
5Walters P. An Introduction to Ergodic Theory. New York: Springer-Verlag, 1982.
6D. A. Mizin.Estimation of the Entropy of Dynamic System[J]. Automation and Remote Control . 2002 (11)
7A. Katok.Lyapunov exponents, entropy and periodic orbits for diffeomorphisms[J]. Publications Mathématiques de L’Institut des Hautes Scientifiques . 1980 (1)
8Jacob Feldman.r-entropy, equipartition, and Ornstein’s isomorphism theorem inR n[J]. Israel Journal of Mathematics . 1980 (3-4)
9Akin H.The topological entropy of invertible cellular automata. Journal of Computational and Applied Mathematics . 2008
10Anvar M H.Transitivity and topological entropy on fuzzy dynamical systems through fuzzy observation. Pro- ceedings of the 8th WSEAS International Conference on Fuzzy Systems . 2007

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2王肖义,何伟弘,黄煜.真拟弱几乎周期点和拟正则点[J].中国科学：数学,2013,43(12):1185-1192. 被引量：1
3XIONG JinCheng,FU HeMan,WANG HuoYun.A class of Furstenberg families and their applications to chaotic dynamics[J].Science China Mathematics,2014,57(4):823-836. 被引量：2
4Qi YAN,Jian Dong YIN.On Quasi-weakly Almost Periodic Points of Continuous Flows[J].Acta Mathematica Sinica,English Series,2019,35(2):257-269.
5尹建东,杨忠选.关于拟弱几乎周期点的一些结论和公开问题(英文)[J].数学进展,2014,43(3):321-328.
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7Tao WANG,Jian Dong YIN,Qi YAN.Several Transitive Properties and Devaney's Chaos[J].Acta Mathematica Sinica,English Series,2016,32(3):373-383.
8Qi YAN,Jian Dong YIN,Ballesteros MARNELLIE,Wei Ling WU.Banach Upper Density Recurrent Points of C^0-flows[J].Acta Mathematica Sinica,English Series,2016,32(11):1312-1322.
9沈一兵,赵唯.关于Finsler流形的曲率与基本群[J].中国科学：数学,2018,48(6):807-818.
10Fei Liu,Fang Wang,Weisheng Wu.The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth[J].Science China Mathematics,2020,63(7):1323-1338.

同被引文献7

1Katok A, Hasselblatt B. Introduction to the Modern Theory of Dynamical Systems. Cambridge: Cambridge University Press, 1995.
2Sun P. Exponential decay of Lebesgue numbers. Discret Contin Dyn Syst Ser A, 2012, 32: 3773-3785.
3Walters P. An Introduction to Ergodic Theory. New York: Springer-Verlag, 1982.
4REN YunLi,HE LianFai,LV JinFeng,ZHENG GuoPing.Topological r-entropy and measure-theoretic r-entropy of a continuous map[J].Science China Mathematics,2011,54(6):1197-1205. 被引量：5
5SHEN YiBing,ZHAO Wei.On fundamental groups of Finsler manifolds In memory of the centenary birthday of Professor S.S.Chern[J].Science China Mathematics,2011,54(9):1951-1964. 被引量：4
6HE WeiHong,YIN JianDong,ZHOU ZuoLing.On quasi-weakly almost periodic points[J].Science China Mathematics,2013,56(3):597-606. 被引量：8
7WANG HuoYun,LIU Xin,FU HeMan.Chaos and null systems[J].Science China Mathematics,2013,56(3):607-618. 被引量：2

引证文献1

1SUN Peng.Exponential decay of expansive constants[J].Science China Mathematics,2013,56(10):2063-2067. 被引量：1

二级引证文献1

1SUN Peng.Exponential decay of expansive constants[J].Science China Mathematics,2013,56(10):2063-2067. 被引量：1

1ZHANG Hongwei LIU Gongwei HU Qingying.Exponential Decay of Energy for a Logarithmic Wave Equation[J].Journal of Partial Differential Equations,2015,28(3):269-277. 被引量：2
2Seunghee LEE,Junmi PARK.Expansive Homoclinic Classes of Generic C^1-Vector Fields[J].Acta Mathematica Sinica,English Series,2016,32(12):1451-1458.
3C.A.MORALES.On the Complexity of Expansive Measures[J].Acta Mathematica Sinica,English Series,2015,31(9):1501-1507.
4代雄平,周作领,耿祥义.Some relations between Hausdorff-dimensions and entropies[J].Science China Mathematics,1998,41(10):1068-1075.
5张维弢,冯德兴.EXPONENTIAL DECAY DOMAIN OF ENERGY FOR WAVE EQUATION UNDER FEEDBACK CONTROL[J].Acta Mathematicae Applicatae Sinica,1999,15(3):249-256.
6王震.OPEN EXPANSIVE MAP OF COMPACT CONNECTED METRIC SPACE[J].Annals of Differential Equations,1994,10(3):339-341.
7Guangwu Wang.EXPONENTIAL DECAY FOR THE VISCOUS BIPOLAR QUANTUM HYDRODYNAMIC MODEL[J].Annals of Applied Mathematics,2015,31(3):329-336.
8En Hui SHI,Li Zhen ZHOU.The Nonexistence of Expansive Z^d Actions on Graphs[J].Acta Mathematica Sinica,English Series,2005,21(6):1509-1514. 被引量：3
9HAN Xiaosen.Global Existence and Exponential Decay for a Nonlinear Viscoelastic Equation with Nonlinear Damping[J].Journal of Partial Differential Equations,2009,22(4):299-314. 被引量：4
10Shun-Tang Wu.EXPONENTIAL DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH SINGULAR KERNELS[J].Acta Mathematica Scientia,2012,32(6):2237-2246. 被引量：2

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