Geodesic
Topological entropy and differential equations
Archivum mathematicum, Tome 59 (2023) no. 1, pp. 3-10 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2023-1-3
Classification : 34A37, 34C28, 37B40, 47H04
Keywords: topological entropy; impulsive differential equations; multivalued impulses; topological chaos 
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Andres, Jan; Ludvík, Pavel. Topological entropy and differential equations. Archivum mathematicum, Tome 59 (2023) no. 1, pp. 3-10. doi: 10.5817/AM2023-1-3

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