| Title:
|
Approximation of limit cycle of differential systems with variable coefficients (English) |
| Author:
|
Onitsuka, Masakazu |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
85-97 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The behavior of the approximate solutions of two-dimensional nonlinear differential systems with variable coefficients is considered. Using a property of the approximate solution, so called conditional Ulam stability of a generalized logistic equation, the behavior of the approximate solution of the system is investigated. The obtained result explicitly presents the error between the limit cycle and its approximation. Some examples are presented with numerical simulations. (English) |
| Keyword:
|
approximate solution |
| Keyword:
|
variable coefficients |
| Keyword:
|
generalized logistic equation |
| Keyword:
|
conditional Ulam stability |
| Keyword:
|
limit cycle |
| MSC:
|
34A12 |
| MSC:
|
34C05 |
| MSC:
|
34C07 |
| MSC:
|
34D10 |
| MSC:
|
39A30 |
| idZBL:
|
Zbl 07675577 |
| idMR:
|
MR4563019 |
| DOI:
|
10.5817/AM2023-1-85 |
| . |
| Date available:
|
2023-02-22T14:30:06Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151553 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
