Add to ORKGIn this paper we study the existence and non-existence of limit cycles for the class of polynomial differential systems of the form ẋ=λx+Pn(x,y),ẏ=μy+Qn(x,y),where Pn and Qn are homogeneous polynomials of degree n
AbstractLet Pk(x1,…,xd) and Qk(x1,…,xd) be polynomials of degree nk for k=1,2,…,d. Consider the poly...
We perturb the differential system x˙1=-x2(1+x1), x˙2=x1(1+x1), and x˙k=0 for k=3,…,d inside the cla...
We study planar polynomial differential equations with homogeneous components. This kind of equation...
Agraïments: The second author is partially supported by NNSF of China grant number 10971133. The thi...
We consider three classes of polynomial differential equations of the form (x) over dot = -y + P-n(x...
AbstractWe consider the class of polynomial differential equations x˙=λx-y+Pn(x,y),y˙=x+λy+Qn(x,y), ...
Agraïments: The first and third author is partially supported by the Algerian Ministry of Higher Edu...
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x...
<正> We consider the class of polynomial differential equations x = -y+Pn(x,y), y = x + Qn(x, y...
AbstractWe consider a system of the form x˙=Pn(x,y)+xRm(x,y), y˙=Qn(x,y)+yRm(x,y), where Pn(x,y), Qn...
AbstractBy using the averaging method, we study the limit cycles for a class of quartic polynomial d...
Abstract. We consider the class of polynomial differential equations x ̇ = Pn(x, y)+Pn+1(x, y) +Pn+2...
International audienceWe consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y),...
We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piece...
Agraïments/Ajudes: The second author is partially supported by the Algerian Ministry of Higher Educa...
AbstractLet Pk(x1,…,xd) and Qk(x1,…,xd) be polynomials of degree nk for k=1,2,…,d. Consider the poly...
We perturb the differential system x˙1=-x2(1+x1), x˙2=x1(1+x1), and x˙k=0 for k=3,…,d inside the cla...
We study planar polynomial differential equations with homogeneous components. This kind of equation...
Agraïments: The second author is partially supported by NNSF of China grant number 10971133. The thi...
We consider three classes of polynomial differential equations of the form (x) over dot = -y + P-n(x...
AbstractWe consider the class of polynomial differential equations x˙=λx-y+Pn(x,y),y˙=x+λy+Qn(x,y), ...
Agraïments: The first and third author is partially supported by the Algerian Ministry of Higher Edu...
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x...
<正> We consider the class of polynomial differential equations x = -y+Pn(x,y), y = x + Qn(x, y...
AbstractWe consider a system of the form x˙=Pn(x,y)+xRm(x,y), y˙=Qn(x,y)+yRm(x,y), where Pn(x,y), Qn...
AbstractBy using the averaging method, we study the limit cycles for a class of quartic polynomial d...
Abstract. We consider the class of polynomial differential equations x ̇ = Pn(x, y)+Pn+1(x, y) +Pn+2...
International audienceWe consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y),...
We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piece...
Agraïments/Ajudes: The second author is partially supported by the Algerian Ministry of Higher Educa...
AbstractLet Pk(x1,…,xd) and Qk(x1,…,xd) be polynomials of degree nk for k=1,2,…,d. Consider the poly...
We perturb the differential system x˙1=-x2(1+x1), x˙2=x1(1+x1), and x˙k=0 for k=3,…,d inside the cla...
We study planar polynomial differential equations with homogeneous components. This kind of equation...