Topological entropy and differential equations

Ján Andres; Pavel Ludvík

Archivum Mathematicum (2023)

  • Issue: 1, page 3-10
  • ISSN: 0044-8753

Abstract

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On the background of a brief survey panorama of results on the topic in the title, one new theorem is presented concerning a positive topological entropy (i.e. topological chaos) for the impulsive differential equations on the Cartesian product of compact intervals, which is positively invariant under the composition of the associated Poincaré translation operator with a multivalued upper semicontinuous impulsive mapping.

How to cite

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Andres, Ján, and Ludvík, Pavel. "Topological entropy and differential equations." Archivum Mathematicum (2023): 3-10. <http://eudml.org/doc/298976>.

@article{Andres2023,
abstract = {On the background of a brief survey panorama of results on the topic in the title, one new theorem is presented concerning a positive topological entropy (i.e. topological chaos) for the impulsive differential equations on the Cartesian product of compact intervals, which is positively invariant under the composition of the associated Poincaré translation operator with a multivalued upper semicontinuous impulsive mapping.},
author = {Andres, Ján, Ludvík, Pavel},
journal = {Archivum Mathematicum},
keywords = {topological entropy; impulsive differential equations; multivalued impulses; topological chaos},
language = {eng},
number = {1},
pages = {3-10},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Topological entropy and differential equations},
url = {http://eudml.org/doc/298976},
year = {2023},
}

TY - JOUR
AU - Andres, Ján
AU - Ludvík, Pavel
TI - Topological entropy and differential equations
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
IS - 1
SP - 3
EP - 10
AB - On the background of a brief survey panorama of results on the topic in the title, one new theorem is presented concerning a positive topological entropy (i.e. topological chaos) for the impulsive differential equations on the Cartesian product of compact intervals, which is positively invariant under the composition of the associated Poincaré translation operator with a multivalued upper semicontinuous impulsive mapping.
LA - eng
KW - topological entropy; impulsive differential equations; multivalued impulses; topological chaos
UR - http://eudml.org/doc/298976
ER -

References

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