Generic chaos

Ľubomír Snoha

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 793-810
  • ISSN: 0010-2628

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Snoha, Ľubomír. "Generic chaos." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 793-810. <http://eudml.org/doc/17901>.

@article{Snoha1990,
author = {Snoha, Ľubomír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {generic chaos; dense chaos; topological transitivity; topological entropy},
language = {eng},
number = {4},
pages = {793-810},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Generic chaos},
url = {http://eudml.org/doc/17901},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Snoha, Ľubomír
TI - Generic chaos
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 793
EP - 810
LA - eng
KW - generic chaos; dense chaos; topological transitivity; topological entropy
UR - http://eudml.org/doc/17901
ER -

References

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  1. Block L., Stability of periodic orbits in the theorem of Šarkovskii, Proc. Amer. Math. Soc. 81 (1981), 333-336. (1981) Zbl0462.54029MR0593484
  2. Blokh A. M., On limit behaviour of one dimensional dynamical systems, (Russian), Preprint (1982). (1982) MR0643772
  3. Blokh A. M., On sensitive mappings of an interval (Russian), Uspekhi Mat. Nauk 37, No. 2 (1982), 189-190. (1982) MR0650765
  4. Guckenheimer J., Sensitive dependence to initial conditions for one-dimensional maps, Commun. Math. Phys. 70 (1979), 133-160. (1979) Zbl0429.58012MR0553966
  5. Janková K., Smítal J., A characterization of chaos, Bull. Austral. Math. Soc. 34 (1986), 283-292. (1986) MR0854575
  6. Kloeden P. E., Chaotic difference equations are dense, Bull. Austral. Math. Soc. 15 (1976), 371-379. (1976) Zbl0335.39001MR0432829
  7. Li T. Y., Yorke J. A., Period three implies chaos, Amer. Math. Monthly 82 (1975), 985-992. (1975) Zbl0351.92021MR0385028
  8. Misiurewicz M., Szlenk W., Entropy of piecevnse monotone mappings, Astérisque 50 (1977), 299-310. (1977) MR0487998
  9. Misiurewicz M., Szlenk W., Entropy of piecewise monotone mappings, Studia Math. 67 (1980), 45-63. (1980) Zbl0445.54007MR0579440
  10. Mizera I., [unknown], personal communication (1988). (1988) Zbl0636.58025
  11. Piórek J., On the generic chaos in dynamical systems, , Acta Math. Univ. Iagell. 25 (1985), 293-298. (1985) MR0837847
  12. Preston C, Iterates of Maps on an Interval, Lecture Notes in Math. 999, Springer-Verlag, 1983. (1983) Zbl0582.58001MR0706078
  13. Šarkovskii A. N., Coexistence of cycles of continuous maps of the line into itself, (Russian), Ukrain. Math. Zh. 16 (1964), 61-71. (1964) MR0159905
  14. Šarkovskii A. N., Maistrenko Ju. L., Romanenko E. Ju., Difference Equations and their Applications, (Russian), Naukova Dumka, Kiev, 1986. (1986) MR0895825

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