AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of planar vector fields. The results deal with any number of parameters. Proofs are based on the techniques introduced in “Canard Cycles and Center Manifolds” (F. Dumortier and R. Roussarie, 1996, Mem. Amer. Math. Soc., 121). The presentation is limited to generalized Liénard equations εx+α(x, c)x+β(x, c)=0
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
AbstractThis paper deals with Liénard equations of the form ẋ=y,ẏ=P(x)+yQ(x,y), with P and Q polyn...
We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated...
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
AbstractThe generalized Liénard equations of the form: ẋ = h(y) − F(x), ẏ = −g(x) where F, g, and ...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center ...
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
We continue the recent investigation [40] about the qualitative properties of the solutions for a cl...
In this paper, we first present a survey of the known results on limit cycles and center conditions ...
We consider planar vector fields $f(x,y,\lambda)$ depending on a three-dimensional parameter vector ...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...
AbstractThis paper deals with Liénard equations of the form x˙=y, y˙=P(x)+yQ(x,y), with P and Q poly...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
AbstractThis paper deals with Liénard equations of the form ẋ=y,ẏ=P(x)+yQ(x,y), with P and Q polyn...
We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated...
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
AbstractThe generalized Liénard equations of the form: ẋ = h(y) − F(x), ẏ = −g(x) where F, g, and ...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center ...
In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcat...
We continue the recent investigation [40] about the qualitative properties of the solutions for a cl...
In this paper, we first present a survey of the known results on limit cycles and center conditions ...
We consider planar vector fields $f(x,y,\lambda)$ depending on a three-dimensional parameter vector ...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...
AbstractThis paper deals with Liénard equations of the form x˙=y, y˙=P(x)+yQ(x,y), with P and Q poly...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
Liénard systems and their generalized forms are classical and important models of nonlinear oscillat...
AbstractThis paper deals with Liénard equations of the form ẋ=y,ẏ=P(x)+yQ(x,y), with P and Q polyn...
We consider a class of discontinuous Liénard systems and study the number of limit cycles bifurcated...
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