| Title | Isochronicity and normal forms of polynomial systems of ODEs |
| Author(s) | V.G. Romanovskii, Ming Zhang |
| Type | Article in Journal |
| Abstract | We propose a generalization of the notion of isochronicity for real polynomial autonomous systems to the case of complex two dimensional systems of ODEs. We study the generalized problem in the case of a quadratic system and a system with homogeneous cubic nonlinearities. Main tools of the study are algorithms of computational algebra based on the Groebner basis theory. |
| Keywords | |
| ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S074771711100232X |
| Language | English |
| Journal | Journal of Symbolic Computation |
| Volume | 47 |
| Number | 10 |
| Pages | 1163 - 1174 |
| Year | 2012 |
| Note | Symbolic Computation and its Applications |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
