메뉴 건너뛰기




Volumn 9, Issue 3, 2003, Pages 617-632

Rotation sets for unimodal maps of the interval

Author keywords

Kneading invariant; Pattern; Rotation interval; Twist homoclinic itinerary; Twist itinerary; Unimodal map

Indexed keywords


EID: 0038578325     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2003.9.617     Document Type: Article
Times cited : (2)

References (17)
  • 2
    • 38249035270 scopus 로고
    • Generalizations of a theorem of Sarkovskii on orbits of continuous real-valued functions
    • [Bal87]
    • [Bal87] S. Baldwin. Generalizations of a theorem of Sarkovskii on orbits of continuous real-valued functions. Discrete Mathematics, 67:111-127, 1987.
    • (1987) Discrete Mathematics , vol.67 , pp. 111-127
    • Baldwin, S.1
  • 3
    • 0003440953 scopus 로고
    • [BC91], Lecture Notes in Mathematics. Springer-Verlag
    • [BC91] L. Block and W. Coppel. Dynamics in One Dimension. Lecture Notes in Mathematics. Springer-Verlag, 1991.
    • (1991) Dynamics in One Dimension
    • Block, L.1    Coppel, W.2
  • 4
    • 0033433865 scopus 로고    scopus 로고
    • Stable and unstable manifold structures in the Hénon family
    • [BD99]
    • [BD99] M. Barge and B, Diamond. Stable and unstable manifold structures in the Hénon family. Ergod. Th. and Dynam. Sys., 19:309-338, 1999.
    • (1999) Ergod. Th. and Dynam. Sys. , vol.19 , pp. 309-338
    • Barge, M.1    Diamond, B.2
  • 6
    • 0001631193 scopus 로고
    • Functional rotation numbers for one-dimensional maps
    • [Blo95a], February
    • [Blo95a] A.M. Blokh. Functional rotation numbers for one-dimensional maps. Trans. Amer. Math. Soc., 347(2):499-513, February 1995.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , Issue.2 , pp. 499-513
    • Blokh, A.M.1
  • 7
    • 0039141003 scopus 로고
    • Rotation numbers, twists and a Sharkovskii-Misiurewicz-type ordering for patterns on the interval
    • [Blo95b]
    • [Blo95b] A.M. Blokh. Rotation numbers, twists and a Sharkovskii-Misiurewicz-type ordering for patterns on the interval. Ergod. Th. & Dynam. Sys., 15:1-14, 1995.
    • (1995) Ergod. Th. & Dynam. Sys. , vol.15 , pp. 1-14
    • Blokh, A.M.1
  • 9
    • 0035645409 scopus 로고    scopus 로고
    • Topological sequence entropy of w-limit sets of interval maps
    • [Can]
    • [Can] J.S. Cánovas. Topological sequence entropy of w-limit sets of interval maps. Discrete and Continuous Dynamical Systems, 7(4):781-786, 2001.
    • (2001) Discrete and Continuous Dynamical Systems , vol.7 , Issue.4 , pp. 781-786
    • Cánovas, J.S.1
  • 13
    • 84971110362 scopus 로고
    • Rotation sets are closed
    • [Ito80]
    • [Ito80] R. Ito. Rotation sets are closed. Math. Proc. Camb. Phil. Soc., 89:107-111, 1980.
    • (1980) Math. Proc. Camb. Phil. Soc. , vol.89 , pp. 107-111
    • Ito, R.1
  • 14
    • 0000848698 scopus 로고
    • On iterated maps of the interval
    • [MT88], number 1342 in Lecture Notes in Mathematics, Springer, Berlin
    • [MT88] J. Milnor and W. Thurston. On iterated maps of the interval. In Dynamical Systems, number 1342 in Lecture Notes in Mathematics, pages 465-563. Springer, Berlin, 1988.
    • (1988) Dynamical Systems , pp. 465-563
    • Milnor, J.1    Thurston, W.2
  • 15
    • 0002072428 scopus 로고
    • Coexistence of cycles of a continuous map of the line into itself
    • [Sar64], in Russian
    • [Sar64] A.N. Sarkovskii. Coexistence of cycles of a continuous map of the line into itself. Ukr. Math. Z., 16:61-71, 1964. in Russian.
    • (1964) Ukr. Math. Z. , vol.16 , pp. 61-71
    • Sarkovskii, A.N.1
  • 16
    • 0001371112 scopus 로고
    • A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
    • [Š77]
    • [Š77] P. Štefan. A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line. Comm. Math. Phys., 54:237-248, 1977.
    • (1977) Comm. Math. Phys. , vol.54 , pp. 237-248
    • Štefan, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.