Analytic integrability of quadratic–linear polynomial differential systems-Reference-Cited by-同舟云学术

Analytic integrability of quadratic–linear polynomial differential systems

Published:2009-11-04 Issue:1 Volume:31 Page:245-258
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

LLIBRE JAUME,VALLS CLÀUDIA

Abstract

AbstractFor the quadratic–linear polynomial differential systems with a finite singular point, we classify the ones which have a global analytic first integral, and provide the explicit expression of their first integrals.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference17 articles.

1. Saddle quantities and applications

2. [15] Reyn J. W. . A bibliography of the qualitative theory of quadratic systems of differential equations in the plane, Delf University of Technology, 1997, http://ta.twi.tudelft.nl/DV/Staff/J.W.Reyn.html.

3. On non-integrability of general systems of differential equations

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems;Expositiones Mathematicae;2021-12

2. Global C∞ integrability of quartic–linear polynomial differential systems;Dynamical Systems;2018-03-23

3. On the Liouville integrability of Edelstein’s reaction system in R3;Chaos, Solitons & Fractals;2018-03

4. Integrability of Dynamical Systems: Algebra and Analysis;Developments in Mathematics;2017

5. Integrability of vector fields versus inverse Jacobian multipliers and normalizers;Discrete and Continuous Dynamical Systems;2016-08