메뉴 건너뛰기




Volumn 19, Issue 6, 1999, Pages 1655-1684

Sharkovskii's theorem for multidimensional perturbations of one-dimensional maps

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033264634     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799141749     Document Type: Article
Times cited : (22)

References (23)
  • 3
    • 0031534946 scopus 로고    scopus 로고
    • New order for periodic orbits of interval maps
    • A. Blokh and M. Misiurewicz. New order for periodic orbits of interval maps. Ergod. Th. & Dynam. Sys. 17 (1997), 565-574.
    • (1997) Ergod. Th. & Dynam. Sys. , vol.17 , pp. 565-574
    • Blokh, A.1    Misiurewicz, M.2
  • 4
    • 0039141003 scopus 로고
    • Rotation numbers, twists and a Sharkovskii-Misiurewicz-type ordering for patterns on interval
    • A. Blokh. Rotation numbers, twists and a Sharkovskii-Misiurewicz-type ordering for patterns on interval. Ergod. Th. & Dynam. Sys. 15 (1995), 1-14.
    • (1995) Ergod. Th. & Dynam. Sys. , vol.15 , pp. 1-14
    • Blokh, A.1
  • 5
    • 0001482567 scopus 로고
    • Topological methods in surface dynamics
    • P. Boyland. Topological methods in surface dynamics. Top. Applications 58 (1994), 223-298.
    • (1994) Top. Applications , vol.58 , pp. 223-298
    • Boyland, P.1
  • 8
    • 0000499166 scopus 로고
    • The Leray-Schauder index and the fixed point theory for arbitrary ANR's
    • A. Granas. The Leray-Schauder index and the fixed point theory for arbitrary ANR's. Bull. Soc. Math. France 100 (1972), 209-228.
    • (1972) Bull. Soc. Math. France , vol.100 , pp. 209-228
    • Granas, A.1
  • 10
    • 0006732807 scopus 로고
    • Vers un ordre de Sarkovskii pour les plongements du disque preservant l'orientation
    • J. M. Gambaudo. S. van Strien and C. Tresser. Vers un ordre de Sarkovskii pour les plongements du disque preservant l'orientation. Comptes Rendus I 310 (1990), 291-294.
    • (1990) Comptes Rendus I , vol.310 , pp. 291-294
    • Gambaudo, J.M.1    Van Strien, S.2    Tresser, C.3
  • 11
    • 0000997452 scopus 로고
    • The creation of horseshoes
    • T. Hall. The creation of horseshoes. Nonlinearity 7 (1994), 861-924.
    • (1994) Nonlinearity , vol.7 , pp. 861-924
    • Hall, T.1
  • 12
    • 0037955133 scopus 로고
    • Periodic orbits of period 3 in the disc
    • B. Kolev. Periodic orbits of period 3 in the disc. Nonlinearity 7 (1994), 1067-1071.
    • (1994) Nonlinearity , vol.7 , pp. 1067-1071
    • Kolev, B.1
  • 13
    • 84973984828 scopus 로고
    • On Sharkovsky's cycle coexistence ordering
    • P. E. Kloeden. On Sharkovsky's cycle coexistence ordering. Bull. Austral. Math. Soc. 20 (1979), 171-178.
    • (1979) Bull. Austral. Math. Soc. , vol.20 , pp. 171-178
    • Kloeden, P.E.1
  • 14
    • 0000100336 scopus 로고
    • Period three implies chaos
    • T. Y. Li and J. A. Yorke. Period three implies chaos. Amer. Math. Monthly 82 (1975), 985-992.
    • (1975) Amer. Math. Monthly , vol.82 , pp. 985-992
    • Li, T.Y.1    Yorke, J.A.2
  • 17
    • 0002072428 scopus 로고
    • Coexistence of cycles of a continuous map of a line into itself
    • in Russian
    • A. N. Sharkovskii. Coexistence of cycles of a continuous map of a line into itself. Ukr. Math. Z. 16 (1964), 67-71 (in Russian). Int. J. Bifurcations Chaos 5 (1995), 1263-1274 (in English).
    • (1964) Ukr. Math. Z. , vol.16 , pp. 67-71
    • Sharkovskii, A.N.1
  • 18
    • 0038688307 scopus 로고
    • in English
    • A. N. Sharkovskii. Coexistence of cycles of a continuous map of a line into itself. Ukr. Math. Z. 16 (1964), 67-71 (in Russian). Int. J. Bifurcations Chaos 5 (1995), 1263-1274 (in English).
    • (1995) Int. J. Bifurcations Chaos , vol.5 , pp. 1263-1274
  • 19
    • 84968514104 scopus 로고
    • Differentiable dynamical systems
    • S. Smale. Differentiable dynamical systems Bull. Amer. Math. Soc. 73 (1967), 747-817.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 747-817
    • Smale, S.1
  • 20
    • 0001371112 scopus 로고
    • A theorem of Sarkovskii on the existence of periodic orbits of continous endomorphism of the real line
    • P. Stefan. A Theorem of Sarkovskii on the existence of periodic orbits of continous endomorphism of the real line. Commun. Math. Phys. 54 (1977), 237-248.
    • (1977) Commun. Math. Phys. , vol.54 , pp. 237-248
    • Stefan, P.1
  • 22
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphism of surfaces
    • W. P. Thurston. On the geometry and dynamics of diffeomorphism of surfaces. Bull. Amer. Math. Soc. 19 (1988), 417-431.
    • (1988) Bull. Amer. Math. Soc. , vol.19 , pp. 417-431
    • Thurston, W.P.1
  • 23
    • 0000527735 scopus 로고    scopus 로고
    • Fixed point index for iterations of maps, topological horseshoe and chaos
    • P. Zgliczyński. Fixed point index for iterations of maps, topological horseshoe and chaos. Topological Methods Nonlinear Analysis 8(1) (1996), 169-177.
    • (1996) Topological Methods Nonlinear Analysis , vol.8 , Issue.1 , pp. 169-177
    • Zgliczyński, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.