A. H. Nayfeh and B. Balachandran, Applied nonlinear dynamics: Analytical, Computationnal and Experimental Methods, 1995.
DOI : 10.1002/9783527617548

M. Peeters, R. Viguié, G. Sérandour, G. Kerschen, and J. Golinval, Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques, Mechanical Systems and Signal Processing, pp.195-216, 2009.
DOI : 10.1016/j.ymssp.2008.04.003

G. W. Hill, On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon, Acta Mathematica, vol.8, issue.0, pp.1-36, 1886.
DOI : 10.1007/BF02417081

J. Killingbeck, On the Hill determinant method, Journal of Physics A: Mathematical and General, vol.19, issue.14, pp.2903-2906, 1986.
DOI : 10.1088/0305-4470/19/14/025

B. Deconinck and J. N. Kutz, Computing spectra of linear operators using the Floquet???Fourier???Hill method, Journal of Computational Physics, vol.219, issue.1, pp.296-321, 2006.
DOI : 10.1016/j.jcp.2006.03.020

F. Bonani, G. , and M. , Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach, IEEE transactions on circuits and Systems-I: Fundamental theory and applications, pp.881-890, 1999.
DOI : 10.1109/81.780370

C. Villa, J. Sinou, and F. Thouverez, Stability and vibration analysis of a complex flexible rotor bearing system, Communications in Nonlinear Science and Numerical Simulation, vol.13, issue.4, pp.804-821, 2008.
DOI : 10.1016/j.cnsns.2006.06.012

URL : https://hal.archives-ouvertes.fr/hal-00214124

A. Lazarus, D. Combescure, and B. Prabel, A 3D finite element model for the vibration analysis of asymmetric rotating machines, Journal of Sound and Vibration, vol.329, issue.18, 2010.
DOI : 10.1016/j.jsv.2010.03.029

URL : https://hal.archives-ouvertes.fr/hal-01452018

A. Lazarus, T. , and O. , A harmonic-based method for computing the stability of periodic solutions of dynamical systems, Comptes Rendus M??canique, vol.338, issue.9, 2010.
DOI : 10.1016/j.crme.2010.07.020

URL : https://hal.archives-ouvertes.fr/hal-01452004

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

C. Touzé, O. Thomas, and A. Chaigne, ASYMMETRIC NON-LINEAR FORCED VIBRATIONS OF FREE-EDGE CIRCULAR PLATES. PART 1: THEORY, Journal of Sound and Vibration, vol.258, issue.4, pp.649-676, 2002.
DOI : 10.1006/jsvi.2002.5143

O. Thomas, C. Touzé, and A. Chaigne, Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: experiments, Journal of Sound and Vibration, vol.265, issue.5, pp.1075-1101, 2003.
DOI : 10.1016/S0022-460X(02)01564-X

URL : https://hal.archives-ouvertes.fr/hal-00830696

G. Floquet, Sur la théorie deséquationsdes´deséquations différentielles, Annales scientifiques de l' ´ Ecole Normale Supérieure, pp.3-132, 1879.

P. Hartman, Ordinary differential equations, 2002.

J. Argyris, G. Faust, and M. Haase, An exploration of chaos, VII of Texts on computational mechanics, 1994.

H. Poincaré, Sur les d??terminants d'ordre infini, Bulletin de la Société Mathématique de France, pp.77-90, 1886.
DOI : 10.24033/bsmf.313

J. Zhou, T. Hagiwara, and M. Araki, Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems, Systems & Control Letters, vol.53, issue.2, pp.141-155, 2004.
DOI : 10.1016/j.sysconle.2004.03.002

C. W. Curtis and B. Deconinck, On the convergence of Hill???s method, Mathematics of Computation, vol.79, issue.269, pp.169-187, 2010.
DOI : 10.1090/S0025-5718-09-02277-7

H. Harrison, Plane and Circular Motion of a String, The Journal of the Acoustical Society of America, vol.20, issue.6, pp.874-875, 1948.
DOI : 10.1121/1.1906452

J. W. Miles, Stability of Forced Oscillations of a Vibrating String, The Journal of the Acoustical Society of America, vol.38, issue.5, pp.855-861, 1965.
DOI : 10.1121/1.1909816

J. W. Miles, Resonant, nonplanar motion of a stretched string, The Journal of the Acoustical Society of America, vol.75, issue.5, pp.1505-1510, 1984.
DOI : 10.1121/1.390821

R. J. Hanson, J. M. Anderson, and H. K. Macomber, Measurements of nonlinear effects in a driven vibrating wire, The Journal of the Acoustical Society of America, vol.96, issue.3, pp.1549-1556, 1994.
DOI : 10.1121/1.410233

W. Szemplinska-stupnicka, The Behavior of Nonlinear Vibrating Systems: Fundamental Concepts and Methods: Applications to Single-Degree-of-Freedom Systems, 1990.
DOI : 10.1007/978-94-009-1870-2