On the centers of the weight-homogeneous polynomial vector fields on the plane

[1]  H. Poincaré,et al.  Sur les courbes définies par les équations différentielles(III) , 1885 .

[2]  N. N. Bautin,et al.  On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type , 1954 .

[3]  A. Andronov,et al.  Qualitative Theory of Second-order Dynamic Systems , 1973 .

[4]  A. Fuller,et al.  Stability of Motion , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[5]  R. Moussu,et al.  Symétrie et forme normale des centres et foyers dégénérés , 1982, Ergodic Theory and Dynamical Systems.

[6]  J. Llibre,et al.  Algebraic and topological classification of the homogeneous cubic vector fields in the plane , 1990 .

[7]  H. Zoladek,et al.  Quadratic Systems with Center and Their Perturbations , 1994 .

[8]  Xiang Zhang,et al.  Polynomial first integrals for quasi-homogeneous polynomial differential systems , 2002 .

[9]  Víctor Mañosa,et al.  On the Center Problem for degenerate Singular Points of Planar Vector Fields , 2002, Int. J. Bifurc. Chaos.

[10]  Armengol Gasull,et al.  Monodromy and Stability for Nilpotent Critical Points , 2005, Int. J. Bifurc. Chaos.

[11]  Jaume Llibre,et al.  The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems , 2005, math/0506116.

[12]  Jaume Giné,et al.  A necessary condition in the monodromy problem for analytic differential equations on the plane , 2006, J. Symb. Comput..

[13]  Jaume Llibre,et al.  Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3 , 2007 .

[14]  J. Llibre,et al.  Limit Cycles Bifurcating from the Period Annulus of Quasi-Homogeneous Centers , 2009 .

[15]  D. Schlomiuk,et al.  Algebraic particular integrals, integrability and the problem of the center , 1993 .