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Volumn 109, Issue 9, 2002, Pages 840-843

Transitivity implies period six: A simple proof

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EID: 0036851266     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/3072372     Document Type: Note
Times cited : (12)

References (10)
  • 3
    • 0002562983 scopus 로고
    • Dynamics in one dimension
    • Springer-Verlag, New York
    • L. Block and W. Coppel, Dynamics in One Dimension, Lecture Notes in Mathematics, vol. 1513, Springer-Verlag, New York, 1992.
    • (1992) Lecture Notes in Mathematics , vol.1513
    • Block, L.1    Coppel, W.2
  • 4
    • 84967712810 scopus 로고
    • Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval
    • L. Block and E. Coven, Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval, Trans. Amer. Math. Soc. 300 (1987) 297-306.
    • (1987) Trans. Amer. Math. Soc. , vol.300 , pp. 297-306
    • Block, L.1    Coven, E.2
  • 6
    • 0000100336 scopus 로고
    • Period three implies chaos
    • T. Li and J. Yorke, 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
  • 7
    • 0031484982 scopus 로고    scopus 로고
    • Remarks on sharkovsky's theorem
    • M. Misiurewicz, Remarks on Sharkovsky's theorem, Amer. Math. Monthly 104 (1997) 864-867.
    • (1997) Amer. Math. Monthly , vol.104 , pp. 864-867
    • Misiurewicz, M.1
  • 9
    • 0002072428 scopus 로고
    • Coexistence of cycles of a continuous map of a line into itself
    • A.N. Sharkovsky, Coexistence of cycles of a continuous map of a line into itself, Ukrainian Math. J. 16 (1964) 61-71.
    • (1964) Ukrainian Math. J. , vol.16 , pp. 61-71
    • Sharkovsky, A.N.1
  • 10
    • 21344492385 scopus 로고
    • On intervals, transitivity = chaos
    • M. Vellekoop and R. Berglund, On intervals, transitivity = chaos, Amer. Math. Monthly 101 (1994) 353-355.
    • (1994) Amer. Math. Monthly , vol.101 , pp. 353-355
    • Vellekoop, M.1    Berglund, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.