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Planar Quadratic Differential Systems with Invariants of the Form ax2+bxy+cy2+dx+ey+c1t.
- Source :
-
Bulletin of the Iranian Mathematical Society . Aug2024, Vol. 50 Issue 4, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- A function I(x, y, t) constant on the solutions of a differential system in R 2 is called an invariant. We classify all planar quadratic differential systems having invariants of the form I (x , y , t) = a x 2 + b x y + c y 2 + d x + e y + c 1 t with c 1 ≠ 0 . There are 13 different families of quadratic systems having invariants of this form. As far as we know this is the first time that quadratic differential systems having an invariant different from a Darboux invariant have been classified [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 50
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 177764273
- Full Text :
- https://doi.org/10.1007/s41980-024-00888-7