Abstract
We study the systems of differential equations of the form ẋ = x + p(x, y), ẏ; = -3y + q(x, y), where p and q are homogeneous polynomials of degree three (either of which may be zero). The necessary and sufficient coefficient conditions for linearization of such systems are obtained.
| Original language | English |
|---|---|
| Title of host publication | ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008 |
| Pages | 255-260 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
| Event | 21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008 - Linz, Hagenberg, Austria Duration: Jul 20 2008 → Jul 23 2008 |
Other
| Other | 21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008 |
|---|---|
| Country | Austria |
| City | Linz, Hagenberg |
| Period | 7/20/08 → 7/23/08 |
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Keywords
- Normal forms
- Ordinary differential equations
- Polynomial ideals
- The center and linearizability problems
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Linearizability of 1 : -3 resonant system with homogeneous cubic nonlinearities. / Kadyrsizova, Zhibek; Romanovski, Valery G.
ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008. 2008. p. 255-260.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Linearizability of 1
T2 - -3 resonant system with homogeneous cubic nonlinearities
AU - Kadyrsizova, Zhibek
AU - Romanovski, Valery G.
PY - 2008
Y1 - 2008
N2 - We study the systems of differential equations of the form ẋ = x + p(x, y), ẏ; = -3y + q(x, y), where p and q are homogeneous polynomials of degree three (either of which may be zero). The necessary and sufficient coefficient conditions for linearization of such systems are obtained.
AB - We study the systems of differential equations of the form ẋ = x + p(x, y), ẏ; = -3y + q(x, y), where p and q are homogeneous polynomials of degree three (either of which may be zero). The necessary and sufficient coefficient conditions for linearization of such systems are obtained.
KW - Normal forms
KW - Ordinary differential equations
KW - Polynomial ideals
KW - The center and linearizability problems
UR - http://www.scopus.com/inward/record.url?scp=57449121359&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=57449121359&partnerID=8YFLogxK
U2 - 10.1145/1390768.1390804
DO - 10.1145/1390768.1390804
M3 - Conference contribution
AN - SCOPUS:57449121359
SN - 9781595939043
SP - 255
EP - 260
BT - ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008
ER -