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  • For a continuous map phi : X -> X of a compact metric space, we study relations between distributional chaos and the existence of a point which is quasi-weakly almost periodic, but not weakly almost periodic. We provide an example showing that the existence of such a point does not imply the strongest version of distributional chaos, DC1. Using this we prove that, even in the class of triangular maps of the square, there are no relations to DC1. This result, among others, contributes to the solution of a problem formulated by A.N. Sharkovsky in the eighties. (C) 2009 Elsevier Ltd. All rights reserved.
  • For a continuous map phi : X -> X of a compact metric space, we study relations between distributional chaos and the existence of a point which is quasi-weakly almost periodic, but not weakly almost periodic. We provide an example showing that the existence of such a point does not imply the strongest version of distributional chaos, DC1. Using this we prove that, even in the class of triangular maps of the square, there are no relations to DC1. This result, among others, contributes to the solution of a problem formulated by A.N. Sharkovsky in the eighties. (C) 2009 Elsevier Ltd. All rights reserved. (en)
Title
  • Distributional chaos and irregular recurrence
  • Distributional chaos and irregular recurrence (en)
skos:prefLabel
  • Distributional chaos and irregular recurrence
  • Distributional chaos and irregular recurrence (en)
skos:notation
  • RIV/47813059:19610/10:#0000269!RIV10-MSM-19610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 254756
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  • RIV/47813059:19610/10:#0000269
http://linked.open...riv/jazykVysledku
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  • Distributional chaos; Recurrence; Skew-product maps; Topological entropy (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [722B40A2D79E]
http://linked.open...i/riv/nazevZdroje
  • Nonlinear Analysis: Theory, Methods & Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 72
http://linked.open...iv/tvurceVysledku
  • Smítal, Jaroslav
  • Obadalová, Lenka
http://linked.open...ain/vavai/riv/wos
  • 000273924100005
http://linked.open...n/vavai/riv/zamer
issn
  • 0362-546X
number of pages
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  • 19610
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