Successive derivatives of a first return map, application to the study of quadratic vector fields
Françoise , Jean-Pierre
HAL, hal-01403493 / Harvested from HAL
Text on HAL
We provide an algorithm to compute the first non-zero derivative of the return map r ↦ L(r, ε) of a planar vector field which is a polynomial perturbation of a linear center. It yields a new method for finding the centre conditions in the case of a homogeneous perturbative part.
Publié le : 1996-07-04
Classification:  Bifurcation theory,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01403493,
     author = {Fran\c coise , Jean-Pierre },
     title = {Successive derivatives of a first return map, application to the study of quadratic vector fields},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01403493}
}

Françoise , Jean-Pierre . Successive derivatives of a first return map, application to the study of quadratic vector fields. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-01403493/