| Title:
|
A simple method for constructing non-liouvillian first integrals of autonomous planar systems (English) |
| Author:
|
Schulze-Halberg, Axel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
987-999 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that a transformation method relating planar first-order differential systems to second order equations is an effective tool for finding non-liouvillian first integrals. We obtain explicit first integrals for a subclass of Kukles systems, including fourth and fifth order systems, and for generalized Liénard-type systems. (English) |
| Keyword:
|
planar polynomial systems |
| Keyword:
|
Kukles systems |
| Keyword:
|
generalized Liénard systems |
| Keyword:
|
non-liouvillian first integrals |
| MSC:
|
33C99 |
| MSC:
|
34A25 |
| MSC:
|
34C07 |
| MSC:
|
34C14 |
| MSC:
|
81U15 |
| idZBL:
|
Zbl 1164.34396 |
| idMR:
|
MR2261671 |
| . |
| Date available:
|
2009-09-24T11:40:34Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128124 |
| . |
| Reference:
|
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