Liouvillian first integrals of quadratic-linear polynomial differential systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Llibre, Jaume²  Valls, Claudia¹ 

[1] Inst Super Tecn, Dept Matemat, P-1096 Lisbon, Portugal

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

关键词: Invariant algebraic curves;    Darboux polynomials;    Quadratic systems;    Quadratic vector fields;    Liouvillian integrability;   

DOI  :  10.1016/j.jmaa.2010.12.033

来源: Elsevier

【 摘 要 】

For a large class of quadratic-linear polynomial differential systems with a unique singular point at the origin having non-zero eigenvalues, we classify the ones which have a Liouvillian first integral, and we provide the explicit expression of them. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free