@article{shami:hal-03789488, TITLE = {{Nonlinear dynamics of coupled oscillators in 1:2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect}}, AUTHOR = {Shami, Zein Alabidin and Shen, Yichang and Giraud-Audine, Christophe and Touz{\'e}, Cyril and Thomas, Olivier}, URL = {https://hal.science/hal-03789488}, JOURNAL = {{Meccanica}}, PUBLISHER = {{Springer Verlag}}, YEAR = {2022}, MONTH = Aug, DOI = {10.1007/s11012-022-01566-w}, KEYWORDS = {Nonlinear modes ; Backbone curves ; Forced response ; Invariant manifolds ; Quadratic coupling ; Normal form ; Saturation phenomenon ; Second order multiple scale expansion}, PDF = {https://hal.science/hal-03789488v1/file/LISPEN_MECC_2022_THOMAS.pdf}, HAL_ID = {hal-03789488}, HAL_VERSION = {v1}, }