Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems

J. Neunhäuserer

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 3, page 279-289
  • ISSN: 0862-7959

Abstract

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We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.

How to cite

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Neunhäuserer, J.. "Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems." Mathematica Bohemica 135.3 (2010): 279-289. <http://eudml.org/doc/38130>.

@article{Neunhäuserer2010,
abstract = {We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.},
author = {Neunhäuserer, J.},
journal = {Mathematica Bohemica},
keywords = {Li-Yorke chaos; Hausdorff dimension; Li-Yorke chaos; Hausdorff dimension},
language = {eng},
number = {3},
pages = {279-289},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems},
url = {http://eudml.org/doc/38130},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Neunhäuserer, J.
TI - Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 3
SP - 279
EP - 289
AB - We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.
LA - eng
KW - Li-Yorke chaos; Hausdorff dimension; Li-Yorke chaos; Hausdorff dimension
UR - http://eudml.org/doc/38130
ER -

References

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