Centering conditions for planar septic systems
| dc.contributor.author | Volokitin, Evgenii P. | |
| dc.date.accessioned | 2020-10-05T19:12:40Z | |
| dc.date.available | 2020-10-05T19:12:40Z | |
| dc.date.issued | 2003-04-03 | |
| dc.description.abstract | We find centering conditions for the following O-symmetric system of degree 7: ẋ = y + x(H2(x, y) + H6(x, y)), ẏ = -x + y(H2(x, y) + H6(x, y)), where H2(x, y) and H6(x, y) are homogeneous polynomials of degrees 2 and 6, respectively. In some cases, we can find commuting systems and first integrals for the original system. We also study the geometry of the central region. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Volokitin, E. P. (2003). Centering conditions for planar septic systems. <i>Electronic Journal of Differential Equations, 2003</i>(34), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12706 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Centering conditions | |
| dc.subject | Isochronicity | |
| dc.subject | Commutativity | |
| dc.title | Centering conditions for planar septic systems | |
| dc.type | Article |