Extension of Bautin theory to any dimension
Françoise , Jean-Pierre
HAL, hal-01401529 / Harvested from HAL
Text on HAL
Bautin made some years ago a decisive contribution to the algebraic approach of the perturbation theory of periodic orbits of plane polynomial vector fields. This article presents first steps of a general framework in which a generalization of Bautin’s ideas to any dimension could be developed. The main result is the generalization of the algorithm of the successive derivatives of return mappings for 2-dimensional systems to any dimension in this framework.
Publié le : 2001-03-04
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01401529,
     author = {Fran\c coise , Jean-Pierre },
     title = {Extension of Bautin theory to any dimension},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01401529}
}

Françoise , Jean-Pierre . Extension of Bautin theory to any dimension. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01401529/