International audienceWe consider generalized Liénard polynomial differential systems. In their work, Llibre and Valls have shown that, except in some particular cases, such systems have no Liouvillian first integral. In this letter, we give a direct and shorter proof of this result
summary:We show that a transformation method relating planar first-order differential systems to sec...
summary:We show that a transformation method relating planar first-order differential systems to sec...
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a...
International audienceWe consider generalized Liénard polynomial differential systems. In their work...
International audienceWe consider generalized Liénard polynomial differential systems. In their work...
We consider generalized Liénard polynomial differential systems of the form x ̇ = y, y ̇ =−g(x) − ...
Agraïments/Ajudes: The second author has been partially supported by FCT through the project PTDC/MA...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
AbstractRecently, the authors provided an example of an integrable Liouvillian planar polynomial dif...
In this work we study the existence and non-existence of finite invariant algebraic curves for a com...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati ...
Altres ajuts: ICREA Academia, FEDER-UNAB10-4E378 and PTDC/MAT/117106/2010We study the existence of L...
AbstractThere was the belief that if a planar polynomial differential system has a Liouvillian first...
In this paper we study the existence and non-existence of finite invariant algebraic curves for comp...
summary:We show that a transformation method relating planar first-order differential systems to sec...
summary:We show that a transformation method relating planar first-order differential systems to sec...
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a...
International audienceWe consider generalized Liénard polynomial differential systems. In their work...
International audienceWe consider generalized Liénard polynomial differential systems. In their work...
We consider generalized Liénard polynomial differential systems of the form x ̇ = y, y ̇ =−g(x) − ...
Agraïments/Ajudes: The second author has been partially supported by FCT through the project PTDC/MA...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
AbstractRecently, the authors provided an example of an integrable Liouvillian planar polynomial dif...
In this work we study the existence and non-existence of finite invariant algebraic curves for a com...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati ...
Altres ajuts: ICREA Academia, FEDER-UNAB10-4E378 and PTDC/MAT/117106/2010We study the existence of L...
AbstractThere was the belief that if a planar polynomial differential system has a Liouvillian first...
In this paper we study the existence and non-existence of finite invariant algebraic curves for comp...
summary:We show that a transformation method relating planar first-order differential systems to sec...
summary:We show that a transformation method relating planar first-order differential systems to sec...
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a...
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