@article{lamarque:hal-00880968, TITLE = {{An upper bound for validity limits of asymptotic analytical approaches based on normal form theory}}, AUTHOR = {Lamarque, Claude-Henri and Touz{\'e}, Cyril and Thomas, Olivier}, URL = {https://hal.science/hal-00880968}, JOURNAL = {{Nonlinear Dynamics}}, PUBLISHER = {{Springer Verlag}}, VOLUME = {70}, NUMBER = {3}, PAGES = {1931-1949}, YEAR = {2012}, DOI = {10.1007/s11071-012-0584-y}, KEYWORDS = {Normal form theory ; Perturbation methods ; Nonlinear Normal Modes}, PDF = {https://hal.science/hal-00880968v1/file/LSIS-INSM_nonli_dyn_2012_thomas.pdf}, HAL_ID = {hal-00880968}, HAL_VERSION = {v1}, }