Add to ORKGWe study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit cycles
International audienceWe revisit the bifurcation theory of the Lotka–Volterra quadratic system [Form...
International audienceWe revisit the bifurcation theory of the Lotka–Volterra quadratic system [Form...
AbstractThis paper shows that asymmetrically perturbed, symmetric Hamiltonian systems of the formx=y...
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that...
Abstract We study quadratic perturbations of the integrable system (1 + x) dH , where H = (x 2 + y 2...
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
We study quadratic perturbations of the integrable system (1 + x) dH, where H = (x(2) + y(2))/2. We ...
Abstract. We study quadratic perturbations of the integrable sys-tem (1+ x)dH, where H = (x2 + y2)/2...
In this paper, cubic perturbations of the integral system (1+x)2dH where H=(x2+y2)/2 are considered....
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
AbstractWe compute the first three Melnikov functions of quadratic vector fields obtained as perturb...
The research of limit cycles for planar polynomial differential systems is historically motivated by...
AbstractWe investigate a general near-Hamiltonian system on the plane whose unperturbed system has a...
AbstractIn this paper, we first study the analytical property of the first Melnikov function for gen...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
International audienceWe revisit the bifurcation theory of the Lotka–Volterra quadratic system [Form...
International audienceWe revisit the bifurcation theory of the Lotka–Volterra quadratic system [Form...
AbstractThis paper shows that asymmetrically perturbed, symmetric Hamiltonian systems of the formx=y...
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that...
Abstract We study quadratic perturbations of the integrable system (1 + x) dH , where H = (x 2 + y 2...
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
We study quadratic perturbations of the integrable system (1 + x) dH, where H = (x(2) + y(2))/2. We ...
Abstract. We study quadratic perturbations of the integrable sys-tem (1+ x)dH, where H = (x2 + y2)/2...
In this paper, cubic perturbations of the integral system (1+x)2dH where H=(x2+y2)/2 are considered....
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
AbstractWe compute the first three Melnikov functions of quadratic vector fields obtained as perturb...
The research of limit cycles for planar polynomial differential systems is historically motivated by...
AbstractWe investigate a general near-Hamiltonian system on the plane whose unperturbed system has a...
AbstractIn this paper, we first study the analytical property of the first Melnikov function for gen...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
International audienceWe revisit the bifurcation theory of the Lotka–Volterra quadratic system [Form...
International audienceWe revisit the bifurcation theory of the Lotka–Volterra quadratic system [Form...
AbstractThis paper shows that asymmetrically perturbed, symmetric Hamiltonian systems of the formx=y...