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rdf:type
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Description
| - We exhibit an example of a continuous function $f$ of type $2^\infty$ on the unit interval such that $f$ is not stable in the sense of Ljapunov on the set ${\rm Per}(f)$ of its periodic points. This disproves a statement published in several books and papers, e.g., by V.V. Fedorenko, S. F. Kolyada, A. N. Sharkovsky, A. G. Sivak and J. Smítal. For completeness we also show that Ljapunov stability of $f$ on ${\rm Per}(f)$ implies that $f$ has zero topological entropy.
- We exhibit an example of a continuous function $f$ of type $2^\infty$ on the unit interval such that $f$ is not stable in the sense of Ljapunov on the set ${\rm Per}(f)$ of its periodic points. This disproves a statement published in several books and papers, e.g., by V.V. Fedorenko, S. F. Kolyada, A. N. Sharkovsky, A. G. Sivak and J. Smítal. For completeness we also show that Ljapunov stability of $f$ on ${\rm Per}(f)$ implies that $f$ has zero topological entropy. (en)
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Title
| - A counterexample to statement concerning Lyapunov stability
- A counterexample to statement concerning Lyapunov stability (en)
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skos:prefLabel
| - A counterexample to statement concerning Lyapunov stability
- A counterexample to statement concerning Lyapunov stability (en)
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skos:notation
| - RIV/47813059:19610/01:00000064!RIV/2002/MSM/196102/N
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/47813059:19610/01:00000064
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - function of type 2^\infty; topological entropy; Ljapunov stability; periodic points (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Acta Mathematica Universitas Comeniane
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...ocetUcastnikuAkce
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http://linked.open...nichUcastnikuAkce
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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