TY - JOUR
T1 - Shape of limit cycles that bifurcate from non-Hamiltonian centers
AU - Giacomini, Hector
AU - Llibre, Jaume
AU - Viano, Mireille
PY - 2001/1/1
Y1 - 2001/1/1
N2 - A method for computing analytically, up to any order of the bifurcation parameter, the shape of the limit cycles from a Hamiltonian center is introduced. This method is the unique explicit procedure in the literature about limit cycles which allows to determine the shape of these bifurcated cycles. The global shape of the bifurcated cycles from a non-Hamiltonian center was computed, when it is perturb by an arbitrary analytic planar vector field. This generalization is not straightforward and presents several technical difficulties.
AB - A method for computing analytically, up to any order of the bifurcation parameter, the shape of the limit cycles from a Hamiltonian center is introduced. This method is the unique explicit procedure in the literature about limit cycles which allows to determine the shape of these bifurcated cycles. The global shape of the bifurcated cycles from a non-Hamiltonian center was computed, when it is perturb by an arbitrary analytic planar vector field. This generalization is not straightforward and presents several technical difficulties.
U2 - 10.1016/S0362-546X(99)00237-0
DO - 10.1016/S0362-546X(99)00237-0
M3 - Article
SN - 0362-546X
VL - 43
SP - 837
EP - 859
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
ER -