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Original Articles

On Graph-realizable Sets of Periods

Pages 343-357 | Published online: 17 Sep 2010

  • Alseda , L. and Llibre , J. 1985 . A note on the set of periods for continuous maps of the circle which have degree one . Proc. Am. Math. Soc. , 93 : 133 – 138 .
  • Baldwin , S. 1991 . An extension of ?arkovskii's theorem to the n-od . Ergodic Theory Dynam. Syst. , 11 : 249 – 271 .
  • Block , L. , Guckenheimer , J. , Misiurewicz , M. and Young , L. S. 1980 . Periodic Points and Topological Entropy of One Dimensional Maps , Lect. Notes in Math. Vol. 819 , 18 – 34 . Berlin : Springer .
  • Blokh , A. M. 1982 . On the limit behaviour of one-dimensional dynamical systems. 1,2 (Russian) , 1156 – 82 . 2704 – 82 . Moscow : Preprints VINITI .
  • Blokh , A. M. 1983 . Decomposition of dynamical systems on an interval . Russ. Math. Suru. #5 , 38 : 133 – 134 .
  • Blokh , A. M. 1986 . On dynamical systems on one-dimensional branched manifolds . Theory Fund. Funct. Anal. Appl. Kharkov , 46 : 8 – 18 .
  • Blokh , A. M. 1986 . On dynamical systems on one-dimensional branched manifolds . Theory Funct. Funct. Anal. Appl. Kharkov , 47 : 67 – 77 .
  • Blokh , A. M. 1987 . On dynamical systems on one-dimensional branched manifolds . Theory Funct. Fund. Anal. Appl. Kharkov , 48 : 32 – 46 .
  • Blokh , A. M. 1991 . The Spectral Decomposition, Periods of Cycles and Misiurewicz Conjecture for Graph Maps , Lecture Notes in Math. Vol. 1514 , 24 – 31 . Berlin : Springer .
  • Blokh , A. M. 1995 . The spectral decomposition for one-dimensional maps . Dynam. Reported , 4 : 1 – 59 .
  • Blokh , A. M. 1995 . Rotation numbers, Twists and a Sharkovskii-Misiurewicz-type ordering for patterns on the interval . Ergodic Theory Dynam. Syst. , 15 : 1 – 14 .
  • Blokh , A. and Misiurewicz , M. 1997 . New order for periodic orbits of interval maps . Ergodic Theory Dynam. Syst. , 17 : 565 – 574 .
  • Denker , M. , Grillenberger , C. and Sigmund , K. 1976 . Ergodic Theory on Compact Spaces , Lect. Notes in Math. Vol. 527 , Berlin : Springer .
  • Hofbauer , F. 1981 . The structure of piecewise-monotonie transformations . Ergodic Theory Dynam. Syst. , 1 : 159 – 178 .
  • Jonker , L. and Rand , D. 1981 . Bifurcations in one-dimensional systems 1: the non-wandeting set . Inv. Math. , 62 : 347 – 365 .
  • Llibre , J. and Misiurewicz , M. 1993 . Horseshoes, entropy and periods for graph maps . Topology , 32 : 649 – 664 .
  • Misiurewicz , M. 1979 . Horseshoes for continuous mappings of an interval, Bull. Acad. Pol. Sci. . Sér. Sci. Math. , 27 : 167 – 169 .
  • Misiurewicz , M. 1982 . Periodic points of maps of degree one of a circle . Ergodic Theory Dynam. Syst. , 2 : 221 – 227 .
  • Nitecki , Z. 1982 . Topological dynamics on the interval, Ergodic Theory and Dynamical Systems, 2., Progress in Math. , Vol. 21 , 1 – 73 . Boston : Birkhäuser .
  • Sharkovsky , A. N. 1966 . Partially ordered system of attracting sets (in Russian) . DAN SSSR , 170 : 1276 – 1278 .
  • Sharkovsky , A. N. 1964 . Coexistence of cycles of a continuous map of a line into itself . Ukr. Math. J. , 16 : 61 – 71 .

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