Invariance of Poincare-Lyapunov Polynomials Under the Group of Rotations
| dc.contributor.author | Joyal, Pierre | |
| dc.date.accessioned | 2019-03-19T17:11:22Z | |
| dc.date.available | 2019-03-19T17:11:22Z | |
| dc.date.issued | 1998-10-09 | |
| dc.description.abstract | We show that the Poincaré-Lyapunov polynomials at a focus of a family of real polynomial vector fields of degree n on the plane are invariant under the group of rotations. Furthermore, we show that under the multiplicative group ℂ* = {ρe iψ}, they are invariant up to a positive factor. These results follow from the weighted-homogeneity of the polynomials that we define in the text. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Joyal, P. (1998). Invariance of Poincare-Lyapunov polynomials under the group of rotations. <i>Electronic Journal of Differential Equations, 1998</i>(23), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7933 | |
| 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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Focus | |
| dc.subject | Invariance of Poincare-Lyapunov polynomials | |
| dc.subject | Weighted-homogeneity | |
| dc.title | Invariance of Poincare-Lyapunov Polynomials Under the Group of Rotations | |
| dc.type | Article |