AbstractWe compute the first three Melnikov functions of quadratic vector fields obtained as perturbations of an integrable system which displays an elliptic sector. We uncover the integrable cases and analyse the algebraic nature of higher order Melnikov functions
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from...
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that...
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that...
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
Abstract We study quadratic perturbations of the integrable system (1 + x) dH , where H = (x 2 + y 2...
Abstract. We study quadratic perturbations of the integrable sys-tem (1+ x)dH, where H = (x2 + y2)/2...
We study quadratic perturbations of the integrable system (1 + x) dH, where H = (x(2) + y(2))/2. We ...
In this paper, cubic perturbations of the integral system (1+x)2dH where H=(x2+y2)/2 are considered....
The research of limit cycles for planar polynomial differential systems is historically motivated by...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
AbstractWe compute the first three Melnikov functions of quadratic vector fields obtained as perturb...
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
AbstractWe investigate a general near-Hamiltonian system on the plane whose unperturbed system has a...
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from...
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that...
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that...
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
Abstract We study quadratic perturbations of the integrable system (1 + x) dH , where H = (x 2 + y 2...
Abstract. We study quadratic perturbations of the integrable sys-tem (1+ x)dH, where H = (x2 + y2)/2...
We study quadratic perturbations of the integrable system (1 + x) dH, where H = (x(2) + y(2))/2. We ...
In this paper, cubic perturbations of the integral system (1+x)2dH where H=(x2+y2)/2 are considered....
The research of limit cycles for planar polynomial differential systems is historically motivated by...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
AbstractWe compute the first three Melnikov functions of quadratic vector fields obtained as perturb...
AbstractWe study quadratic perturbations of the integrable system (1+x)dH, where H=(x2+y2)/2. We pro...
AbstractWe investigate a general near-Hamiltonian system on the plane whose unperturbed system has a...
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from...
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