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Volumn 115, Issue 2, 2008, Pages 159-165

On ordering the natural numbers or the Sharkovski theorem

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EID: 39649090111     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.1080/00029890.2008.11920511     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0002649414 scopus 로고
    • Periodic points and topological entropy of one dimensional maps
    • Global Theory of Dynamical Systems, Z. Nitecki and C. Robinson, eds, Springer-Verlag, Heidelberg
    • L. Block, J. Guckenheimer, M. Misiurewicz, and L. S. Young, Periodic points and topological entropy of one dimensional maps, in Global Theory of Dynamical Systems, Z. Nitecki and C. Robinson, eds., Lecture Notes in Mathematics, vol. 819, Springer-Verlag, Heidelberg, 1980, 18-34.
    • (1980) Lecture Notes in Mathematics , vol.819 , pp. 18-34
    • Block, L.1    Guckenheimer, J.2    Misiurewicz, M.3    Young, L.S.4
  • 2
    • 39649108819 scopus 로고    scopus 로고
    • K. Ciesielski and Z. Pogoda, Mathematical Diamonds (in Polish), Prószyński i S-ka, Warsaw, Poland, 1997.
    • K. Ciesielski and Z. Pogoda, Mathematical Diamonds (in Polish), Prószyński i S-ka, Warsaw, Poland, 1997.
  • 6
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • R. B. May, Simple mathematical models with very complicated dynamics, Nature 261 (1976) 459-467.
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.B.1
  • 7
    • 0000848698 scopus 로고
    • On iterated maps of the interval
    • Dynamical Systems, J. Alexander, ed, Springer-Verlag, Heidelberg
    • J. Milnor and W. Thurston, On iterated maps of the interval, in Dynamical Systems, J. Alexander, ed., Lecture Notes in Mathematics, vol. 1342, Springer-Verlag, Heidelberg, 1988, 465-563.
    • (1988) Lecture Notes in Mathematics , vol.1342 , pp. 465-563
    • Milnor, J.1    Thurston, W.2
  • 8
    • 0000830481 scopus 로고
    • A topologist's view of Sharkovsky's theorem
    • H. Schirmer, A topologist's view of Sharkovsky's theorem, Houston J. Math. 11 (1985) 385-395.
    • (1985) Houston J. Math , vol.11 , pp. 385-395
    • Schirmer, H.1
  • 9
    • 0002072428 scopus 로고
    • Coexistence of cycles of a continuous mapping of the line into itself
    • in Russian
    • A. N. Sharkovski, Coexistence of cycles of a continuous mapping of the line into itself (in Russian), Ukrainian Math. J. 16 (1964), 61-71.
    • (1964) Ukrainian Math. J , vol.16 , pp. 61-71
    • Sharkovski, A.N.1
  • 10
    • 51249194308 scopus 로고
    • Necessary and sufficient conditions for convergence of one-dimensional iteration processes (in Russian), Ukrainian
    • Necessary and sufficient conditions for convergence of one-dimensional iteration processes (in Russian), Ukrainian Math. J. 12 (1960) 484-489.
    • (1960) Math. J , vol.12 , pp. 484-489
  • 11
    • 51649219579 scopus 로고    scopus 로고
    • On cycles and structure of a continuous map (in Russian), Ukrainian Math. J. 17 (1965) 104-111.
    • On cycles and structure of a continuous map (in Russian), Ukrainian Math. J. 17 (1965) 104-111.
  • 12
    • 39649095338 scopus 로고    scopus 로고
    • On the reducibility of a continuous function of a real variable and the structure of the stationary points of the corresponding iteration process (in Russian, Dokl. Akad. Nauk SSSR 139 (1961) 1067-1070
    • On the reducibility of a continuous function of a real variable and the structure of the stationary points of the corresponding iteration process (in Russian), Dokl. Akad. Nauk SSSR 139 (1961) 1067-1070.
  • 13
    • 0001371112 scopus 로고
    • A theorem of Sharkovski on the existence of periodic orbits of continuous endomorphisms of the real line
    • P. Štefan, A theorem of Sharkovski on the existence of periodic orbits of continuous endomorphisms of the real line, Comm. Math. Phys. 54 (1977) 237-248.
    • (1977) Comm. Math. Phys , vol.54 , pp. 237-248
    • Štefan, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.