arXiv Analytics

Sign in

arXiv:1807.04523 [math.DS]AbstractReferencesReviewsResources

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

Jörg Neunhäuserer

Published 2018-07-12Version 1

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

Journal: Mathematica Bohemica, 135, no.3 279-289, 2010
Categories: math.DS
Subjects: 37C45, 37B05
Related articles: Most relevant | Search more
arXiv:1303.3099 [math.DS] (Published 2013-03-13)
Transitive cylinder flows whose set of discrete points is of full Hausdorff dimension
arXiv:1206.1190 [math.DS] (Published 2012-06-06)
Measures of the full Hausdorff dimension for a general Sierpiński carpet
arXiv:1312.4846 [math.DS] (Published 2013-12-16, updated 2014-12-19)
Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems