B. Cochelin and C. Vergez, A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journal of Sound and Vibration, vol.324, issue.1-2, pp.243-262, 2009.
DOI : 10.1016/j.jsv.2009.01.054
URL : https://hal.archives-ouvertes.fr/hal-00315288

M. Urabe, Periodic solutions of differential systems, Galerkin's procedure and the method of averaging, Journal of Differential Equations, vol.2, issue.3, pp.265-280, 1966.
DOI : 10.1016/0022-0396(66)90068-4

M. Nakhla and J. Vlach, A piecewise harmonic balance technique for determination of periodic response of nonlinear systems. Circuits and Systems, IEEE Transactions on, vol.23, issue.2, pp.85-91, 1976.

B. Cochelin, A path-following technique via an asymptotic-numerical method, Computers & Structures, vol.53, issue.5, pp.1181-1192, 1994.
DOI : 10.1016/0045-7949(94)90165-1

M. Pauzin, S. Mensah, B. Cochelin, and J. Lefebvre, High order harmonic balance formulation of free and encapsulated microbubbles, Journal of Sound and Vibration, vol.330, issue.5, pp.987-1004, 2011.
DOI : 10.1016/j.jsv.2010.09.014
URL : https://hal.archives-ouvertes.fr/hal-00430105

N. Kacem, S. Baguet, S. Hentz, and R. Dufour, Computational and quasi-analytical models for non-linear vibrations of resonant MEMS and NEMS sensors, International Journal of Non-Linear Mechanics, vol.46, issue.3, pp.532-542, 2011.
DOI : 10.1016/j.ijnonlinmec.2010.12.012
URL : https://hal.archives-ouvertes.fr/hal-00633150

A. Lazarus and O. Thomas, A harmonic-based method for computing the stability of periodic solutions of dynamical systems, Comptes Rendus M??canique, vol.338, issue.9, pp.510-517, 2010.
DOI : 10.1016/j.crme.2010.07.020
URL : https://hal.archives-ouvertes.fr/hal-01452004

R. Arquier, B. Cochelin, S. Karkar, A. Lazarus, O. Thomas et al., MANLAB 2.0, an interactive continuation software, 2010.

A. Belendez, C. Pascual, D. I. Mendez, T. Belendez, and C. Neipp, Exact solution for the nonlinear pendulum, Revista Brasileira de Ensino de F??sica, vol.29, issue.4, pp.645-648, 2007.
DOI : 10.1590/S1806-11172007000400024

I. Charpentier and M. Potier-ferry, Diff??rentiation automatique de la m??thode asymptotique num??rique typ??e : l'approche Diamant, Comptes Rendus M??canique, vol.336, issue.3, pp.336-340, 2008.
DOI : 10.1016/j.crme.2007.11.022

F. J. Muñoz-almaraz, E. Freire, J. Galán, E. Doedel, A. Vanderbauwhede et al., Continuation of periodic orbits in conservative and Hamiltonian systems, Physica D: Nonlinear Phenomena, vol.181, issue.1-2, pp.1-38, 2003.
DOI : 10.1016/S0167-2789(03)00097-6