| Title: | Time-reversibility and integrability of p : -q resonant vector fields |
|---|
| Authors: | ID Giné, Jaume (Author)
ID Romanovski, Valery (Author)
ID Torregrosa, Joan (Author) |
|---|
| Files: |  10.3934_math.2024005.pdf (336,09 KB)
MD5: 08FA16DB242700C416FD7A752845F1BD
 https://www.aimspress.com/article/doi/10.3934/math.2024005
|
|---|
| Language: | English |
|---|
| Work type: | Article |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
|
|---|
| Abstract: | We study the local analytical integrability in a neighborhood of p : −q resonant singular
point of a two-dimensional vector field and its connection to time-reversibility with respect to the nonsmooth involution ϕ(x, y) = (yp/q, xq/p). Some generalizations of the theory developed by Sibirsky for
the 1 : −1 resonant case to the p : −q resonant case are presented. |
|---|
| Keywords: | planar systems of ODEs, time-reversibility, integrability, resonant singularity |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Submitted for review: | 26.08.2023 |
|---|
| Article acceptance date: | 12.10.2023 |
|---|
| Publication date: | 27.11.2023 |
|---|
| Publisher: | AIMS Press |
|---|
| Year of publishing: | 2024 |
|---|
| Number of pages: | str. 73-88 |
|---|
| Numbering: | let. 9, št. 1 |
|---|
| PID: | 20.500.12556/DKUM-93576  |
|---|
| UDC: | 51 |
|---|
| ISSN on article: | 2473-6988 |
|---|
| COBISS.SI-ID: | 184528899 |
|---|
| DOI: | 10.3934/math.2024005 |
|---|
| Copyright: | © 2024 the Author(s) |
|---|
| Publication date in DKUM: | 03.07.2025 |
|---|
| Views: | 226 |
|---|
| Downloads: | 9 |
|---|
| Metadata: |    |
|---|
| Categories: | Misc.
|
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
