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Volumn 71, Issue 11, 2009, Pages 5835-5839

A note on distributional chaos with respect to a sequence

Author keywords

Distributional chaos; Topological entropy; Weak mixing

Indexed keywords

DISTRIBUTIONAL CHAOS; KURATOWSKI; TOPOLOGICAL DYNAMICS; TOPOLOGICAL ENTROPY; WEAK MIXING;

EID: 68349119190     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.04.066     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 34247476816 scopus 로고    scopus 로고
    • Distributional chaos in a sequence
    • Wang L., Huang G., and Huan S. Distributional chaos in a sequence. Nonlinear Anal. 67 (2007) 2131-2136
    • (2007) Nonlinear Anal. , vol.67 , pp. 2131-2136
    • Wang, L.1    Huang, G.2    Huan, S.3
  • 2
    • 84966254575 scopus 로고
    • Measure of chaos and a spectral decomposition of dynamical systems of interval
    • Schweizer B., and Smítal J. Measure of chaos and a spectral decomposition of dynamical systems of interval. Trans. Amer. Math. Soc. 344 (1994) 737-754
    • (1994) Trans. Amer. Math. Soc. , vol.344 , pp. 737-754
    • Schweizer, B.1    Smítal, J.2
  • 4
    • 0000100336 scopus 로고
    • Period three implies chaos
    • Li T., and Yorke J. Period three implies chaos. Amer. Math. Monthly 82 (1975) 985-992
    • (1975) Amer. Math. Monthly , vol.82 , pp. 985-992
    • Li, T.1    Yorke, J.2
  • 5
    • 58149356458 scopus 로고    scopus 로고
    • Topological size of scrambled sets
    • Blanchard F., Wen H., and L'ubomr S. Topological size of scrambled sets. Colloq. Math. 110 (2008) 293-361
    • (2008) Colloq. Math. , vol.110 , pp. 293-361
    • Blanchard, F.1    Wen, H.2    L'ubomr, S.3
  • 7
    • 57249086982 scopus 로고
    • Independence and scrambled sets for chaotic mappings
    • World Sci. Publ., River Edge, NJ
    • Iwanik A. Independence and scrambled sets for chaotic mappings. The Mathematical Heritage of C. F. Gauss (1991), World Sci. Publ., River Edge, NJ 372-378
    • (1991) The Mathematical Heritage of C. F. Gauss , pp. 372-378
    • Iwanik, A.1
  • 8
    • 22044450834 scopus 로고    scopus 로고
    • On scrambled sets and a theorem of Kuratowski on independent sets
    • Kato H. On scrambled sets and a theorem of Kuratowski on independent sets. Proc. Amer. Math. Soc. 126 (1998) 2151-2157
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 2151-2157
    • Kato, H.1
  • 9
    • 0002884218 scopus 로고
    • Applications of the Baire-category method to the problem of independent sets
    • Collection of Articles Dedicated to Andrzej Mostowski on the Occasion of his Sixtieth Birthday
    • Kuratowski K. Applications of the Baire-category method to the problem of independent sets. Collection of Articles Dedicated to Andrzej Mostowski on the Occasion of his Sixtieth Birthday. Fund. Math. 81 (1973) 65-72
    • (1973) Fund. Math. , vol.81 , pp. 65-72
    • Kuratowski, K.1
  • 10
    • 0005525599 scopus 로고    scopus 로고
    • Devaney's chaos or 2-scattering implies Li-Yorke's chaos
    • Huang W., and Ye X. Devaney's chaos or 2-scattering implies Li-Yorke's chaos. Topology Appl. 117 (2002) 259-272
    • (2002) Topology Appl. , vol.117 , pp. 259-272
    • Huang, W.1    Ye, X.2
  • 11
    • 0001700538 scopus 로고
    • Independent sets in topological algebras
    • Mycielski J. Independent sets in topological algebras. Fund. Math. 55 (1964) 139-147
    • (1964) Fund. Math. , vol.55 , pp. 139-147
    • Mycielski, J.1
  • 12
    • 34547170804 scopus 로고    scopus 로고
    • Lectures on Cantor and Mycielski sets for dynamical systems
    • Chapel Hill Ergodic Theory Workshops, Amer. Math. Soc., Providence, RI
    • Akin E. Lectures on Cantor and Mycielski sets for dynamical systems. Chapel Hill Ergodic Theory Workshops. Contemp. Math. vol. 356 (2004), Amer. Math. Soc., Providence, RI 21-79
    • (2004) Contemp. Math. , vol.356 , pp. 21-79
    • Akin, E.1
  • 13
    • 33749315582 scopus 로고    scopus 로고
    • Relations between distributional and Devaney chaos
    • 5 pp.
    • Oprocha P. Relations between distributional and Devaney chaos. Chaos 16 (2006) 033112 5 pp.
    • (2006) Chaos , vol.16 , pp. 033112
    • Oprocha, P.1
  • 14
    • 85021151210 scopus 로고    scopus 로고
    • On some notions of chaos in dimension zero
    • Pikuła R. On some notions of chaos in dimension zero. Colloq. Math. 107 (2007) 167-177
    • (2007) Colloq. Math. , vol.107 , pp. 167-177
    • Pikuła, R.1
  • 17
    • 33646727744 scopus 로고
    • Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation
    • Furstenberg H. Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Math. Systems Theory 1 (1967) 1-49
    • (1967) Math. Systems Theory , vol.1 , pp. 1-49
    • Furstenberg, H.1
  • 18
    • 68349111949 scopus 로고    scopus 로고
    • S. Kolyada, L. Snoha, Some aspects of topological transitivity-a survey, Iteration theory (ECIT 94) (Opava), Grazer Math. Ber., 334, Karl-Franzens-Univ. Graz, Graz, 1997, pp. 3-35
    • S. Kolyada, L. Snoha, Some aspects of topological transitivity-a survey, Iteration theory (ECIT 94) (Opava), Grazer Math. Ber., vol. 334, Karl-Franzens-Univ. Graz, Graz, 1997, pp. 3-35


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.