AbstractThe generalized Liénard equations of the form: ẋ = h(y) − F(x), ẏ = −g(x) where F, g, and h are polynomials, are examined. It has been found that the results given by Blows, Lloyd and Lynch [1–5] for Liénard equations hold also for the generalized systems. A new result is also presented within this article
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
Agraïments: This work is partially supported by grant CONACYT-58968.Applying the averaging theory of...
AbstractIn this paper, we use the theory of generalized rotated fields to prove a theorem of the uni...
AbstractThe generalized Liénard equations of the form: ẋ = h(y) − F(x), ẏ = −g(x) where F, g, and ...
We prove that the generalized Liénard polynomial differential system x'=y^2p-1, y'=-x^2q-1 - f(x) y^...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
AbstractWe consider the Liénard equation and we give a sufficient condition to ensure existence and ...
AbstractFor Liénard systems x˙=y, y˙=−fm(x)y−gn(x) with fm and gn real polynomials of degree m and n...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
AbstractWe shall give two criteria for the uniqueness of limit cycles of systems of Liénard type ẋ ...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
We continue the recent investigation [40] about the qualitative properties of the solutions for a cl...
AbstractIn this paper, we consider a generalized Liénard systemdxdt=ϕ(y)−F(x),(0.1)dydt=−g(x), where...
AbstractIn this paper we study the limit cycles of the Liénard differential system of the form x¨+f(...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
Agraïments: This work is partially supported by grant CONACYT-58968.Applying the averaging theory of...
AbstractIn this paper, we use the theory of generalized rotated fields to prove a theorem of the uni...
AbstractThe generalized Liénard equations of the form: ẋ = h(y) − F(x), ẏ = −g(x) where F, g, and ...
We prove that the generalized Liénard polynomial differential system x'=y^2p-1, y'=-x^2q-1 - f(x) y^...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
AbstractWe consider the Liénard equation and we give a sufficient condition to ensure existence and ...
AbstractFor Liénard systems x˙=y, y˙=−fm(x)y−gn(x) with fm and gn real polynomials of degree m and n...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
AbstractWe shall give two criteria for the uniqueness of limit cycles of systems of Liénard type ẋ ...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
We continue the recent investigation [40] about the qualitative properties of the solutions for a cl...
AbstractIn this paper, we consider a generalized Liénard systemdxdt=ϕ(y)−F(x),(0.1)dydt=−g(x), where...
AbstractIn this paper we study the limit cycles of the Liénard differential system of the form x¨+f(...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
Agraïments: This work is partially supported by grant CONACYT-58968.Applying the averaging theory of...
AbstractIn this paper, we use the theory of generalized rotated fields to prove a theorem of the uni...
DOI
Add to ORKG