| Title:
|
Topological entropy and differential equations (English) |
| Author:
|
Andres, Jan |
| Author:
|
Ludvík, Pavel |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
3-10 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
topological entropy |
| Keyword:
|
impulsive differential equations |
| Keyword:
|
multivalued impulses |
| Keyword:
|
topological chaos |
| MSC:
|
34A37 |
| MSC:
|
34C28 |
| MSC:
|
37B40 |
| MSC:
|
47H04 |
| idZBL:
|
Zbl 07675569 |
| idMR:
|
MR4563011 |
| DOI:
|
10.5817/AM2023-1-3 |
| . |
| Date available:
|
2023-02-22T14:19:00Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151545 |
| . |
| Reference:
|
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| Reference:
|
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