Polynomial first integrals via the Poincaré series |
| |
Institution: | Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain |
| |
Abstract: | In (Appl. Math. 28 (2001) 17) a method to compute the Poincaré–Liapunov constants for an arbitrary analytic differential system which has a linear center at the origin in function of the coefficients of the system was given. This method also computes the coefficients of the Poincaré series in function of the same coefficients. In this work we use this method to determine polynomial differential systems which have a polynomial first integral. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|