AbstractWe estimate for the maximal number of limit cycles bifurcating from a focus for the Liénard equation x¨+f(x)x˙+g(x)=0, where f and g are polynomials of degree m and n respectively. These estimates are quadratic in m and n and improve the existing bounds. In the proof we use methods of complex algebraic geometry to bound the number of double points of a rational affine curve
In this paper we first give some general theorems on the limit cycle bifurcation for near-Hamiltonia...
We study bifurcations of limit cycles from a separatrix in a polynomial Lienard equation
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
AbstractA recent paper of Christopher and Lloyd reduces the computation of the order of degeneracy o...
The number of limit cycles which bifurcates from periodic orbits of a differential system with a cen...
Abstract. We give an explicit upper bound for a number of limit cycles of the Liénard equation x ̇ ...
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center ...
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
We describe a method based on algorithms of computational algebra for obtaining an upper bound for t...
We consider the Lienard equation of the form$$\ddot x + \epsilon f(x)\dot x + x\sp{2m+1} = 0,\eqno(1...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
We will consider two special families of polynomial perturbations of the linear center. For the resu...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
We study bifurcations of limit cycles from a separatrix in a polynomial Lienard equation
In this paper we first give some general theorems on the limit cycle bifurcation for near-Hamiltonia...
We study bifurcations of limit cycles from a separatrix in a polynomial Lienard equation
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
AbstractA recent paper of Christopher and Lloyd reduces the computation of the order of degeneracy o...
The number of limit cycles which bifurcates from periodic orbits of a differential system with a cen...
Abstract. We give an explicit upper bound for a number of limit cycles of the Liénard equation x ̇ ...
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center ...
Agraïments: The second author has been supported by the grant AGAUR PIV-DGR-2010 and by FCT through ...
We describe a method based on algorithms of computational algebra for obtaining an upper bound for t...
We consider the Lienard equation of the form$$\ddot x + \epsilon f(x)\dot x + x\sp{2m+1} = 0,\eqno(1...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
We will consider two special families of polynomial perturbations of the linear center. For the resu...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
We study bifurcations of limit cycles from a separatrix in a polynomial Lienard equation
In this paper we first give some general theorems on the limit cycle bifurcation for near-Hamiltonia...
We study bifurcations of limit cycles from a separatrix in a polynomial Lienard equation
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
DOI
Add to ORKG