Bifurcation of Limit Cycles for Some Liénard Systems with a Nilpotent Singular Point
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[1] Maoan Han,et al. On Hopf Cyclicity of Planar Systems , 2000 .
[2] Yulin Zhao,et al. Abelian integrals for cubic vector fields , 1999 .
[3] Valery G. Romanovski,et al. Limit cycle bifurcations of some Liénard systems , 2010 .
[4] Maoan Han,et al. Melnikov function and limit cycle bifurcation from a nilpotent center , 2008 .
[5] Huaiping Zhu,et al. Limit Cycle bifurcations in Near-Hamiltonian Systems by Perturbing a Nilpotent Center , 2008, Int. J. Bifurc. Chaos.
[6] V. Romanovski,et al. On the number of limit cycles of polynomial Liénard systems , 2011, 1109.6470.
[7] Robert Roussarie,et al. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields , 1986 .
[8] Lubomir Gavrilov,et al. Petrov modules and zeros of Abelian integrals , 1998 .
[10] Dongmei Xiao,et al. Bifurcations on a Five-Parameter Family of Planar Vector Field , 2008 .
[11] Junmin Yang,et al. Computation of expansion coefficients of Melnikov functions near a nilpotent center , 2012, Comput. Math. Appl..
[12] N. G. Lloyd,et al. The number of small-amplitude limit cycles of Liénard equations , 1984, Mathematical Proceedings of the Cambridge Philosophical Society.
[13] Abraham C.-L. Chian,et al. Polynomial Hamiltonian systems with a nilpotent critical point , 2010 .
[14] Pei Yu,et al. Limit cycles in generalized Liénard systems , 2006 .
[15] Pei Yu,et al. Hopf bifurcations for Near-Hamiltonian Systems , 2009, Int. J. Bifurc. Chaos.
[16] Stephen Lynch,et al. Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces , 1999 .
[17] Maoan Han,et al. On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems , 2008 .
[18] Noel G. Lloyd,et al. Symmetry in Planar Dynamical Systems , 2002, J. Symb. Comput..
[19] Maoan Han,et al. Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop , 2011 .
[20] Freddy Dumortier,et al. Perturbations from an Elliptic Hamiltonian of Degree Four , 2001 .
[21] Chengzhi Li,et al. Perturbation from an elliptic Hamiltonian of degree four—IV figure eight-loop , 2003 .
[22] Maoan Han,et al. Limit Cycles Near Homoclinic and Heteroclinic Loops , 2008 .