supplementary material of MelnikovPREPRINT
[1] Melnikov analysis in a cubic system with a multiple line of critical points
[2] The number of limit cycles from a cubic center by the Melnikov function of any order.Melnikov
[1] Bifurcations of limit cycles in a reversible quadratic systemwith a center, a saddle and two nodes, ,(with I.D. Iliev and C. Li), Comm. Pure & appl. Anal., 9(2010)
[2] On The Periodic Orbits Of The Static, Spherically Symmetric Einstein-Yang-Mills Equations, (with J. Llibre), Commun. Math.Phys., 286(2009),277-281
[3] Linear estimate for the number of limit cycles of a perturbed cubic polynomial differential system, (with J. Llibre and H. Wu), Nonlinear Analysis, 70(2009),419-432
[4] On the critical periods of perturbed isochronous centers, (with A. Gasull), J.Diff.Equ.,244 (2008),696-715.3
[5] Lower bounds for the number of limit cycles of trigonometric Abel equations, (with A. Gasull), J. Math. Anal. Appl, 342 (2008), 682-693
[6] Limit cycles coming from the perturbation of 2-dimensionalcenters of vector fields in R3,(with J. Llibre and X. Zhang) Dynamic Systems and Applications, 17(2008),625-636
[7] Limit cycles for a class of three dimensional polynomial differential systems,(with J. Llibre), J.Dyn.Sys.Cont., 13(2007) 531- 539
[8] On the upper bound of the number of limit cycles obtained by the second order averaging method, (with J. Llibre), DCDISB, 14(2007), 841--873
[9] Bifurcation of a class of planar non-Hamiltonian integrablesystems with two centers and two unbounded heteroclinic loops,(with I.D. Iliev and C. Li), Nonlinearity, 18(2005) 305- 330