C. Touzé and A. Chaigne, Lyapunov exponents from experimental time series: Application to cymbal vibrations, Acustica, vol.86, pp.557-567, 2000.

A. Chaigne, C. Touzé, and O. Thomas, Nonlinear vibrations and chaos in gongs and cymbals, Acoustical Science and Technology, vol.26, issue.5, pp.403-409, 2005.
DOI : 10.1250/ast.26.403
URL : https://hal.archives-ouvertes.fr/hal-01135295

M. S. Qatu, Recent research advances in the dynamic behavior of shells, 1989.

M. Amabili and M. P. Pa¨?doussispa¨?doussis, Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction, Applied Mechanics Reviews, vol.56, issue.4, pp.349-381, 2003.
DOI : 10.1115/1.1565084

K. A. Alhazza and A. A. Alhazza, A Review of the Vibrations of Plates and Shells, The Shock and Vibration Digest, vol.36, issue.5, pp.377-395, 2004.
DOI : 10.1177/0583102404045575

O. Thomas, C. Touzé, and A. Chaigne, Non-linear vibrations of free-edge thin spherical shells: modal interaction rules and 1:1:2 internal resonance, International Journal of Solids and Structures, vol.42, issue.11-12, pp.11-12, 2005.
DOI : 10.1016/j.ijsolstr.2004.10.028
URL : https://hal.archives-ouvertes.fr/hal-00830689

W. H. Hoppmann, . Ii, and C. N. Baronet, A Study of the Vibrations of Shallow Spherical Shells, Journal of Applied Mechanics, vol.30, issue.3, pp.329-334, 1963.
DOI : 10.1115/1.3636557

M. Amabili, M. Pellegrini, and M. Tommesani, Experiments on large-amplitude vibrations of a circular cylindrical panel, Journal of Sound and Vibration, vol.260, issue.3, pp.537-547, 2003.
DOI : 10.1016/S0022-460X(02)00959-8

M. Amabili, Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections, Journal of Sound and Vibration, vol.262, issue.4, pp.921-975, 2003.
DOI : 10.1016/S0022-460X(02)01051-9

H. A. Evensen and R. M. Evan-iwanowsky, Dynamic response and stability of shallow spherical shells subject to timedependant loading, AIAA J, vol.5, issue.5, pp.969-976, 1967.

K. Yasuda and G. Kushida, Nonlinear Forced Oscillations of a Shallow Spherical Shell, Bulletin of JSME, vol.27, issue.232, pp.2233-2240, 1984.
DOI : 10.1299/jsme1958.27.2233

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

H. Chu and G. Herrmann, Influence of large amplitudes on free flexural vibrations of rectangular elastic plates, J. Appl. Mech, vol.23, pp.532-540, 1956.

G. J. Efstathiades, A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure, Journal of Sound and Vibration, vol.16, issue.2, pp.231-253, 1971.
DOI : 10.1016/0022-460X(71)90485-8

C. Touzé and O. Thomas, Non-linear behaviour of free-edge shallow spherical shells: Effect of the geometry, International Journal of Non-Linear Mechanics, vol.41, issue.5, pp.678-692, 2006.
DOI : 10.1016/j.ijnonlinmec.2005.12.004

C. Touzé, O. Thomas, and A. Chaigne, Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes, Journal of Sound and Vibration, vol.273, issue.1-2, pp.1-2, 2004.
DOI : 10.1016/j.jsv.2003.04.005

C. Touzé and O. Thomas, Type of non-linearity of shallow spherical shells using non-linear normal modes, Fifth Euromech Non-linear Dynamics Conference, 2005.

C. Touzé, O. Thomas, and A. Huberdeau, Asymptotic nonlinear normal modes for large amplitude vibrations of continuous structures, Comput. Struct, vol.82, pp.31-32, 2004.