Turbulent maps and their ω-limit sets

F. Balibrea; C. La Paz

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 3, page 223-226
  • ISSN: 0066-2216

Abstract

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One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.

How to cite

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F. Balibrea, and C. La Paz. "Turbulent maps and their ω-limit sets." Annales Polonici Mathematici 65.3 (1997): 223-226. <http://eudml.org/doc/269988>.

@article{F1997,
abstract = {One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.},
author = {F. Balibrea, C. La Paz},
journal = {Annales Polonici Mathematici},
keywords = {turbulent; ω-limit; one-sided fixed point; turbulent maps; -limit sets},
language = {eng},
number = {3},
pages = {223-226},
title = {Turbulent maps and their ω-limit sets},
url = {http://eudml.org/doc/269988},
volume = {65},
year = {1997},
}

TY - JOUR
AU - F. Balibrea
AU - C. La Paz
TI - Turbulent maps and their ω-limit sets
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 3
SP - 223
EP - 226
AB - One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.
LA - eng
KW - turbulent; ω-limit; one-sided fixed point; turbulent maps; -limit sets
UR - http://eudml.org/doc/269988
ER -

References

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  1. [1] M. J. Evans, P. D. Humke, C. M. Lee and R. J. O'Malley, Characterizations of turbulent one-dimensional mappings via ω-limit sets, Trans. Amer. Math. Soc. 326 (1991), 261-280. 
  2. [2] A. N. Sharkovskiĭ, Coexistence of cycles of a continuous mapping of the line into itself, Ukrain. Mat. Zh. 16 (1964), 61-71 (in Russian). MR 32#4213. 
  3. [3] L. S. Block and W. A. Coppel, Dynamics in One Dimension, Lecture Notes in Math. 1513, Springer, Berlin, 1992. 

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