AbstractWe study the period functionTof a centerOof a Liénard system. A sufficient condition for the monotonicity ofT, or for the isochronicity ofO, is given. Such a condition is also necessary whenfandgare analytic, andgis odd. In this case a characterization of isochronous centers of Liénard systems is given. Strict monotonicity and global monotonicity ofTare also investigated
AbstractWe study the isochronicity of centers at O∈R2 for systemsx˙=−y+A(x,y),y˙=x+B(x,y), where A,B...
AbstractThis paper is concerned with the monotonicity of the period function for families of quadrat...
We study local bifurcations of critical periods in the neighborhood of a nondegenerate center of a L...
AbstractWe study the period functionTof a centerOof a Liénard system. A sufficient condition for the...
AbstractWe study the period function T of a center O of the title's equation. A sufficient condition...
Abstract In this paper we study the period function of centers for a class of reversible systems and...
AbstractIn this paper, we study planar differential systems possessing a center at the origin. We in...
9 pagesThe purpose of this paper is to study various monotonicity conditions of the period function ...
16 pagesWe study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x...
Given a centre of a planar differential system, we extend the use of the Lie bracket to the determin...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
AbstractConsider a family of planar systems x˙=X(x,ε) having a center at the origin and assume that ...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
AbstractWe study the isochronicity of centers at O∈R2 for systems x˙=−y+A(x,y), y˙=x+B(x,y), where A...
AbstractWe study the isochronicity of centers at O∈R2 for systemsx˙=−y+A(x,y),y˙=x+B(x,y), where A,B...
AbstractThis paper is concerned with the monotonicity of the period function for families of quadrat...
We study local bifurcations of critical periods in the neighborhood of a nondegenerate center of a L...
AbstractWe study the period functionTof a centerOof a Liénard system. A sufficient condition for the...
AbstractWe study the period function T of a center O of the title's equation. A sufficient condition...
Abstract In this paper we study the period function of centers for a class of reversible systems and...
AbstractIn this paper, we study planar differential systems possessing a center at the origin. We in...
9 pagesThe purpose of this paper is to study various monotonicity conditions of the period function ...
16 pagesWe study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x...
Given a centre of a planar differential system, we extend the use of the Lie bracket to the determin...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
AbstractConsider a family of planar systems x˙=X(x,ε) having a center at the origin and assume that ...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
AbstractWe study the isochronicity of centers at O∈R2 for systems x˙=−y+A(x,y), y˙=x+B(x,y), where A...
AbstractWe study the isochronicity of centers at O∈R2 for systemsx˙=−y+A(x,y),y˙=x+B(x,y), where A,B...
AbstractThis paper is concerned with the monotonicity of the period function for families of quadrat...
We study local bifurcations of critical periods in the neighborhood of a nondegenerate center of a L...