On the nonsingular quadratic differential equations in the plane-Reference-Cited by-同舟云学术

On the nonsingular quadratic differential equations in the plane

Published:1988 Issue:3 Volume:104 Page:793-794
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gasull A.,Llibre J.

Abstract

We point out that the maximum number of inseparable leaves of nonsingular polynomial differential equations of degree two is 3, and we present an example with exactly 3 inseparable leaves.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-03/S0002-9939-1988-0964858-4/S0002-9939-1988-0964858-4.pdf

Reference10 articles.

1. Nonsingular quadratic differential equations in the plane;Camacho, M. I. T.;Trans. Amer. Math. Soc.,1987

2. Polynomial foliations of degree 3 in the plane;Camacho, M. I.,1987

3. On general properties of quadratic systems;Chicone, Carmen;Amer. Math. Monthly,1982

4. Chordal quadratic systems;Gasull, Armengol;Rocky Mountain J. Math.,1986

5. Variétés (non séparées) à une dimension et structures feuilletées du plan;Haefliger, André;Enseign. Math. (2),1957

Cited by 7 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. Global Phase Portraits of the Quadratic Systems Having a Singular and Irreducible Invariant Curve of Degree 3;International Journal of Bifurcation and Chaos;2023-01

2. On Reeb components of nonsingular polynomial differential systems on the real plane;Journal of Differential Equations;2022-05

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

4. New lower bounds for the maximal number of inseparable leaves of nonsingular polynomial foliations of the plane;Journal of Mathematical Analysis and Applications;2020-11

5. Phase portraits of the quadratic polynomial Liénard differential systems;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2020-03-04