@unpublished{grolet:hal-04605208, TITLE = {{High order invariant manifold model reduction for systems with non-polynomial non-linearities: geometrically exact finite element structures and validity limit}}, AUTHOR = {Grolet, Aur{\'e}lien and Vizzaccaro, Alessandra and Debeurre, Marielle and Thomas, Olivier}, URL = {https://hal.science/hal-04605208}, NOTE = {working paper or preprint}, YEAR = {2024}, MONTH = Jun, DOI = {10.21203/rs.3.rs-4155128/v1}, PDF = {https://hal.science/hal-04605208v1/file/article_normal_form_HAL.pdf}, HAL_ID = {hal-04605208}, HAL_VERSION = {v1}, }