V. Zakharov, V. L-'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence 1: Wave Turbulence, Series in Nonlinear Dynamics, 1992.

A. Newell, S. Nazarenko, and L. Biven, Wave turbulence and intermittency, Physica D, pp.152-153, 2001.

V. E. Zakharov and N. N. Filonenko, Energy spectrum for stochastic oscillations of surface of a liquid, J. Appl. Mech. Tech. Phys, vol.8, issue.37, 1967.

A. N. Pushkarev and V. E. Zakharov, Turbulence of Capillary Waves, Physical Review Letters, vol.76, issue.18, pp.3320-3323, 1996.
DOI : 10.1103/PhysRevLett.76.3320

V. E. Zakharov and N. N. Filonenko, Energy spectrum for stochastic oscillations of surface of a liquid, Sov. Phys. Dokl, vol.11, pp.881-883, 1967.

M. Onorato, A. R. Osborne, M. Serio, D. Resio, A. Pushkarev et al., Freely Decaying Weak Turbulence for Sea Surface Gravity Waves, Physical Review Letters, vol.89, issue.14, p.89, 2002.
DOI : 10.1103/PhysRevLett.89.144501

E. Falcon, C. Laroche, and S. Fauve, Observation of Gravity-Capillary Wave Turbulence, Physical Review Letters, vol.98, issue.9, pp.98-094503, 2007.
DOI : 10.1103/PhysRevLett.98.094503

URL : https://hal.archives-ouvertes.fr/hal-00134723

S. Galtier, S. Nazarenko, A. Newell, and A. Pouquet, A weak turbulence theory for incompressible magnetohydrodynamics, Journal of Plasma Physics, vol.63, issue.5, pp.447-488, 2000.
DOI : 10.1017/S0022377899008284

S. Galtier, S. Nazarenko, A. Newell, and A. Pouquet, Anisotropic Turbulence of Shear-Alfv??n Waves, The Astrophysical Journal, vol.564, issue.1, pp.49-52, 2002.
DOI : 10.1086/338791

W. Vinen, Classical character of turbulence in a quantum liquid, Physical Review B, vol.61, issue.2, pp.1410-1420, 2000.
DOI : 10.1103/PhysRevB.61.1410

W. Vinen, Decay of superfluid turbulence at a very low temperature: The radiation of sound from a Kelvin wave on a quantized vortex, Physical Review B, vol.64, issue.13, 2001.
DOI : 10.1103/PhysRevB.64.134520

G. Düring, C. Josserand, and S. Rica, Weak Turbulence for a Vibrating Plate: Can One Hear a Kolmogorov Spectrum?, Physical Review Letters, vol.97, issue.2, pp.97-025503, 2006.
DOI : 10.1103/PhysRevLett.97.025503

T. Von-kármán, Festigkeitsprobleme im maschinenbau, Encyklopadie der Mathematischen Wissenschaften, vol.4, pp.311-385, 1910.

O. Thomas and S. Bilbao, Geometrically nonlinear flexural vibrations of plates: In-plane boundary conditions and some symmetry properties, Journal of Sound and Vibration, vol.315, issue.3, pp.569-590, 2008.
DOI : 10.1016/j.jsv.2008.04.014

A. Boudaoud, O. Cadot, B. Odille, and C. Touzé, Observation of Wave Turbulence in Vibrating Plates, Physical Review Letters, vol.100, issue.23, p.234504, 2008.
DOI : 10.1103/PhysRevLett.100.234504

URL : https://hal.archives-ouvertes.fr/hal-00326634

N. Mordant, Are There Waves in Elastic Wave Turbulence?, Physical Review Letters, vol.100, issue.23, p.234505, 2008.
DOI : 10.1103/PhysRevLett.100.234505

URL : https://hal.archives-ouvertes.fr/hal-00712175

B. Miquel and N. Mordant, Nonlinear dynamics of flexural wave turbulence, Physical Review E, vol.84, issue.6, p.66607, 2011.
DOI : 10.1103/PhysRevE.84.066607

URL : https://hal.archives-ouvertes.fr/hal-00712156

B. Miquel and N. Mordant, Nonstationary Wave Turbulence in an Elastic Plate, Physical Review Letters, vol.107, issue.3, p.34501, 2011.
DOI : 10.1103/PhysRevLett.107.034501

T. Humbert, O. Cadot, G. Düring, C. Josserand, S. Rica et al., Wave turbulence in vibrating plates: The effect of damping, EPL (Europhysics Letters), vol.102, issue.3, 2013.
DOI : 10.1209/0295-5075/102/30002

URL : https://hal.archives-ouvertes.fr/hal-01134801

N. Yokoyama and M. Takaoka, Weak and Strong Wave Turbulence Spectra for Elastic Thin Plate, Physical Review Letters, vol.110, issue.10, 2013.
DOI : 10.1103/PhysRevLett.110.105501

B. Miquel, A. Alexakis, and N. Mordant, Role of dissipation in flexural wave turbulence: From experimental spectrum to Kolmogorov-Zakharov spectrum, Physical Review E, vol.89, issue.6, 2013.
DOI : 10.1103/PhysRevE.89.062925

URL : https://hal.archives-ouvertes.fr/hal-01009490

B. Miquel, A. Alexakis, C. Josserand, and N. Mordant, Transition from Wave Turbulence to Dynamical Crumpling in Vibrated Elastic Plates, Physical Review Letters, vol.111, issue.5, pp.111-054302, 2013.
DOI : 10.1103/PhysRevLett.111.054302

URL : https://hal.archives-ouvertes.fr/hal-01009494

Z. Celep, Free Flexural Vibration of Initially Imperfect Thin Plates with Large Elastic Amplitudes, ZAMM - Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.27, issue.1, pp.423-428, 1976.
DOI : 10.1002/zamm.19760560905

C. Camier, C. Touzé, and O. Thomas, Non-linear vibrations of imperfect freeedge circular plates and shells, pp.28-500, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01089556

C. Touzé, O. Thomas, and M. Amabili, Transition to chaotic vibrations for harmonically forced perfect and imperfect circular plates, International Journal of Non-Linear Mechanics, vol.46, issue.1, pp.234-246, 2011.
DOI : 10.1016/j.ijnonlinmec.2010.09.004

C. Touzé, S. Bilbao, and O. Cadot, Transition scenario to turbulence in thin vibrating plates, Journal of Sound and Vibration, vol.331, issue.2, pp.412-433, 2012.
DOI : 10.1016/j.jsv.2011.09.016

S. Bilbao, A family of conservative finite difference schemes for the dynamical von Karman plate equations, Numerical Methods for Partial Differential Equations, vol.194, issue.1, pp.193-216, 2008.
DOI : 10.1002/num.20260

E. Hairer, C. Lubich, and G. Wanner, Geometric numerical integration , structure-preserving schemes for ordinary differential equations, 2006.

G. Falkovich and A. Shafarenko, Nonstationary wave turbulence, Journal of Nonlinear Science, vol.25, issue.4, pp.457-480, 1991.
DOI : 10.1007/BF02429849

C. Connaughton, A. Newell, and Y. Pomeau, Non-stationary spectra of local wave turbulence, Physica D: Nonlinear Phenomena, vol.184, issue.1-4, pp.64-85, 2003.
DOI : 10.1016/S0167-2789(03)00213-6

URL : https://hal.archives-ouvertes.fr/hal-00000319

R. Bedard, S. Lukaschuk, and S. Nazarenko, Non-stationary regimes of surface gravity wave turbulence, JETP Letters, vol.97, issue.8, pp.459-465, 2013.
DOI : 10.1134/S0021364013080055

G. V. Kolmakov, A. A. Levchenko, M. Y. Brazhnikov, L. P. Mezhov-deglin, A. N. Silchenko et al., Quasiadiabatic Decay of Capillary Turbulence on the Charged Surface of Liquid Hydrogen, Physical Review Letters, vol.93, issue.7, pp.93-074501, 2004.
DOI : 10.1103/PhysRevLett.93.074501

L. Deike, M. Berhanu, and E. Falcon, Decay of capillary wave turbulence, Physical Review E, vol.85, issue.6, p.66311, 2012.
DOI : 10.1103/PhysRevE.85.066311

URL : https://hal.archives-ouvertes.fr/hal-00717642

G. Kolmakov, Decay of capillary turbulence on the surface of a viscous liquid, JETP Letters, vol.83, issue.2, pp.58-63, 2006.
DOI : 10.1134/S0021364006020032

G. L. Ostiguy and S. Sassi, Effects of initial geometric imperfections on dynamic behavior of rectangular plates, Nonlinear Dynamics, vol.25, issue.3, pp.165-181, 1992.
DOI : 10.1007/BF00122300

M. Ducceschi, C. Touzé, S. Bilbao, and C. Webb, Nonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations, Acta Mechanica, vol.26, issue.1, pp.225-213, 2014.
DOI : 10.1007/s00707-013-0931-1

URL : https://hal.archives-ouvertes.fr/hal-01134793

A. Chaigne and C. Lambourg, Time-domain simulation of damped impacted plates. I. Theory and experiments, The Journal of the Acoustical Society of America, vol.109, issue.4, pp.1422-1432, 2001.
DOI : 10.1121/1.1354200

URL : https://hal.archives-ouvertes.fr/hal-00830699

S. Bilbao, Numerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics, 2009.
DOI : 10.1002/9780470749012

O. Cadot, A. Boudaoud, and C. Touzé, Statistics of power injection in a plate set into chaotic vibration, The European Physical Journal B, vol.66, issue.3, pp.399-407, 2008.
DOI : 10.1140/epjb/e2008-00431-3

URL : https://hal.archives-ouvertes.fr/hal-00326633

O. Cadot, C. Touzé, and A. Boudaoud, Linear versus nonlinear response of a forced wave turbulence system, Physical Review E, vol.82, issue.4, p.46211, 2010.
DOI : 10.1103/PhysRevE.82.046211

URL : https://hal.archives-ouvertes.fr/hal-00838873

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, C. Camier, G. Favraud, and O. Thomas, Effect of imperfections and damping on the type of non-linearity of circular plates and shallow spherical shells, Mathematical Problems in Engineering, 2008.