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PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS 被引量：3

PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
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摘要 The authors define and study topological pre-image entropy for the non-autonomous discrete dynamical systems given by a sequence {fi}i=1^∞ of continuous self-maps of a compact topological space. The basic properties and the invariant with respect to equiconjugacy of pre-image entropy for the non-autonomous discrete dynamical systems are obtained.
作者 Xianjiu HUANG Xi WEN Fanping ZENG
机构地区 Department of Mathematics Department of Computer Department of Mathematics
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2008年第3期441-445,共5页 系统科学与复杂性学报（英文版）
基金 the National Natural Science Foundation of China under Grant Nos.10661001 and 10761007 Natural Science Foundation of Jiangxi under Grant No.2007GZS2398 partly by Nanchang University Science Foundation under Grant No.Z-03713
关键词 Equiconjugacy NON-AUTONOMOUS pre-image entropy sequence of continuous self-maps 非自治动力系统 预像熵 等共轭性 离散系统
分类号 TP271 [自动化与计算机技术—检测技术与自动化装置]
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参考文献11

  • 1R. Adler, A. Konheim, and M. McAndrew, Topological entropy, Trans. Amer. Math. Soc., 1965, 114(2): 309-319.
  • 2R. Bowen, Entropy for group endomorphisms and homogenuous space, Trans. Amer. Math. Soc., 1971, 153(1): 401-414.
  • 3E. I. Dinaburg, A connection between various entropy characterizations of dynamical systems, Izvestija AN SSSR, 1971, 35(2): 324-366.
  • 4S. Kolyada and L. Snoha: Topological entropy of nonautonomous dynamical systems, Random and Compu. Dyn., 1996, 4(2/3): 205-223.
  • 5Z. Nitecki and F. Przytycki, Preimage entropy for mappings, International Journal of Birfurcation and Chaos, 1999, 9(9): 1815-1843.
  • 6M. Hurley, On topological entropy of maps, Ergodic Theory and Dynamical Systems, 1995, 15(3): 557-568.
  • 7J. L. Zhang, Y. J. Zhu, and L. F. He, Preimage entropies of nonautonomous dynamical systems (in chinese), Acta Mathematica Sinica, 2005, 48(4): 693-702.
  • 8W. C. Cheng and S. Newhouse, Pre-image entropy, Ergodic Theory and Dynamical Systems, 2005, 25(4): 1091-1113.
  • 9F. P Zeng, K. S. Yan, and G. R. Zhang, Pre-image pressure and invariant measures, Ergod. Th. and Dynam. Sys., 2007, 27(3): 1037-1052.
  • 10S. B. Nadler Jr, Hyperspaces of Sets, Monographs and Textbooks in Pure and Applied Math. No. 49, Marcel Dekker, Inc., New York, 1978.

同被引文献18

  • 1HuangXianjiu,ZengFanping,ZhangGengrong.SEMI-OPENNESSAND ALMOST-OPENNESS OF INDUCED MAPPINGS[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(1):21-26. 被引量：1
  • 2杨润生.伪轨跟踪与混沌[J].数学学报（中文版）,1996,39(3):382-386. 被引量：23
  • 3Li T Y, Yorke J A. Period three implies chaos[J]. American Mathematical Monthly, 1975~82:985-992.
  • 4Bowen R. Entropy for group endomorphisms and homogeneous spaces [J]. Transactions of the American Mathematical Society, 1971,153:401-414.
  • 5Vellekoop M, Berglund R. On intervals, Transitivity=chaos[J]. American Mathematical Monthly, 1994,101:353- 355.
  • 6Kolyada S, Snoha L. Topological entropy of non-autonomous dynamical systems[J]. Random and Computa- tional Dynamics, 1996,4,205-233.
  • 7Tian C J, Chen G R. Chaos of a sequence of maps in a metric space[J]. Chaos Solitons and Fractals, 2006,28:1067-1075.
  • 8Mouron C. Positive entropy on non-autonomous interval maps and the topology of the inverse limit space[J] Topology and its Applications, 2007,154:894-907.
  • 9Balibrea F, Oprocha P. Weak mixing and chaos in nonautonomous discrete systems[J]. Applied Mathematics Letters, 2012,25:1135-1141.
  • 10Zhu Y J, Liu Z F, Xu X L, et al. Entropy of nonautonomous dynamical systems[J]. Journal of the Korean Mathematical Society, 2012,49:165-185.

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Journal of Systems Science & Complexity
2008年 第3期

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