@article{ASENS_2010_4_43_4_659_0, author = {Lombardi, Eric and Stolovitch, Laurent}, title = {Normal forms of analytic perturbations of quasihomogeneous vector fields: {Rigidity,} invariant analytic sets and exponentially small approximation}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {659--718}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {Ser. 4, 43}, number = {4}, year = {2010}, doi = {10.24033/asens.2131}, mrnumber = {2722512}, zbl = {1202.37071}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.2131/} }