Invariant algebraic curves and rational first integrals of holomorphic foliations in CP(2)

2003 ◽  
Vol 46 (2) ◽  
pp. 271 ◽  
Author(s):  
Xiang ZHANG
2013 ◽  
Vol 26 (2) ◽  
pp. 285-289 ◽  
Author(s):  
Jaume Giné ◽  
Maite Grau ◽  
Jaume Llibre

2019 ◽  
Vol 207 (1) ◽  
pp. 193-200
Author(s):  
Claudia R. Alcántara ◽  
Rubí Pantaleón-Mondragón

Nonlinearity ◽  
2015 ◽  
Vol 28 (6) ◽  
pp. 1597-1606 ◽  
Author(s):  
Armengol Gasull ◽  
Hector Giacomini

2020 ◽  
Vol 150 (6) ◽  
pp. 3231-3251 ◽  
Author(s):  
Maria V. Demina ◽  
Claudia Valls

AbstractWe present the complete classification of irreducible invariant algebraic curves of quadratic Liénard differential equations. We prove that these equations have irreducible invariant algebraic curves of unbounded degrees, in contrast with what is wrongly claimed in the literature. In addition, we classify all the quadratic Liénard differential equations that admit a Liouvillian first integral.


2006 ◽  
Vol 130 (5) ◽  
pp. 428-441 ◽  
Author(s):  
J. Chavarriga ◽  
I.A. García ◽  
J. Llibre ◽  
H. Żołądek

Sign in / Sign up

Export Citation Format

Share Document