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Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 3/30/2020, Vol. 30 Issue 4, pN.PAG-N.PAG. 7p. - Publication Year :
- 2020
-
Abstract
- In this paper, we present a criterion for determining the formal Weierstrass nonintegrability of some polynomial differential systems in the plane ℂ 2 . The criterion uses solutions of the form y = f (x) of the differential system in the plane and their associated cofactors, where f (x) is a formal power series. In particular, the criterion provides the necessary conditions in order that some polynomial differential systems in ℂ 2 would be formal Weierstrass integrable. Inside this class there exist non-Liouvillian integrable systems. Finally we extend the theory of formal Weierstrass integrability to Puiseux Weierstrass integrability. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*POWER series
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 30
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 142723756
- Full Text :
- https://doi.org/10.1142/S0218127420500649