Agraïments: The first author is supported by NSFC-10831003 and by CICYT grant number 2009PIV00064.We prove that any classical Liénard differential equation of degree four has at most one limit cycle, and the limit cycle is hyperbolic if it exists. This result gives a positive answer to the conjecture by A. Lins, W. de Melo and C. C. Pugh [4] in 1977 about the number of limit cycles for polynomial Liénard differential equations for n = 4
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
AbstractWe prove that any classical Liénard differential equation of degree four has at most one lim...
Agraïments: The first author is supported by NSFC-10831003 and by CICYT grant number 2009PIV00064.We...
AbstractIn monographs [Theory of Limit Cycles, 1984] and [Qualitative Theory of Differential Equatio...
AbstractWe consider the Liénard equation and we give a sufficient condition to ensure existence and ...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center ...
AbstractWe shall give two criteria for the uniqueness of limit cycles of systems of Liénard type ẋ ...
We give an account of the results about limit cycle’s uniqueness for Liénard equations, starting fro...
AbstractFor Liénard systems x˙=y, y˙=−fm(x)y−gn(x) with fm and gn real polynomials of degree m and n...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
The problem of the uniqueness of limit cycles for Liénard systems is investigated in connection with...
AbstractIn this paper we study the limit cycles of the Liénard differential system of the form x¨+f(...
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
AbstractWe prove that any classical Liénard differential equation of degree four has at most one lim...
Agraïments: The first author is supported by NSFC-10831003 and by CICYT grant number 2009PIV00064.We...
AbstractIn monographs [Theory of Limit Cycles, 1984] and [Qualitative Theory of Differential Equatio...
AbstractWe consider the Liénard equation and we give a sufficient condition to ensure existence and ...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center ...
AbstractWe shall give two criteria for the uniqueness of limit cycles of systems of Liénard type ẋ ...
We give an account of the results about limit cycle’s uniqueness for Liénard equations, starting fro...
AbstractFor Liénard systems x˙=y, y˙=−fm(x)y−gn(x) with fm and gn real polynomials of degree m and n...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
The problem of the uniqueness of limit cycles for Liénard systems is investigated in connection with...
AbstractIn this paper we study the limit cycles of the Liénard differential system of the form x¨+f(...
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
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