L. Crocco, Aspects of Combustion Stability in Liquid Propellant Rocket Motors Part I: Fundamentals. Low Frequency Instability With Monopropellants, Journal of the American Rocket Society, vol.21, issue.6, pp.163-178, 1951.
DOI : 10.2514/8.4393

A. H. Lefebvre, Gas Turbines Combustion, 1999.

R. Lehoucq and D. Sorensen, Arpack: Solution of large scale eigenvalue problems with implicitly restarted arnoldi methods. www.caam.rice.edu/software/arpack. User's guide, 1997.

T. Lieuwen, Y. , and V. , Combustion instabilities in gas turbine engines. operational experience, fundamental mechanisms and modeling, Prog. in Astronautics and AeronauticsAIAA, 2005.

A. S. Morgans and S. R. Stow, Model-based control of combustion instabilities in annular combustors, pp.380-399, 2007.

F. Nicoud, L. Benoit, C. Sensiau, and T. Poinsot, Acoustic Modes in Combustors with Complex Impedances and Multidimensional Active Flames, AIAA Journal, vol.45, issue.2, pp.426-441, 2007.
DOI : 10.2514/1.24933

URL : https://hal.archives-ouvertes.fr/hal-00908192

T. Poinsot, Analyse des instabilités de combustion de foyers turbulents prémélangés, Thèse d'etat, 1987.

T. Poinsot and D. Veynante, Theoretical and numerical combustion, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00270731

L. Rayleigh, The Explanation of Certain Acoustical Phenomena, Nature, vol.18, issue.455, pp.319-321, 1878.
DOI : 10.1038/018319a0

B. Schuermans, C. Paschereit, and P. Monkiewitz, Non-linear combustion instabilities in annular gas-turbine combustors, pp.2006-0549

L. Selle, L. Benoit, T. Poinsot, F. Nicoud, and W. Krebs, Joint use of compressible large-eddy simulation and helmoltz solvers for the analysis of rotating modes in an industrial swirled burner, Combust, vol.145, pp.1-2, 2006.

C. Sensiau, F. Nicoud, M. Van-gijzen, and J. W. Van-leeuwen, A comparison of solvers for quadratic eigenvalue problems from combustion, International Journal for Numerical Methods in Fluids, vol.45, issue.8, pp.56-1481, 2008.
DOI : 10.1002/fld.1691

URL : https://hal.archives-ouvertes.fr/hal-00820759

G. Sleijpen and H. Van-der-vorst, A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems, SIAM Review, vol.42, issue.2, pp.401-425, 1996.
DOI : 10.1137/S0036144599363084

G. Staffelbach, L. Gicquel, G. Boudier, and T. Poinsot, Large Eddy Simulation of self excited azimuthal modes in annular combustors, submitted to the 32nd International Symposium on Combustion, 2008.
DOI : 10.1016/j.proci.2008.05.033

S. R. Stow and A. P. Dowling, Thermoacoustic Oscillations in an Annular Combustor, Volume 2: Coal, Biomass and Alternative Fuels; Combustion and Fuels; Oil and Gas Applications; Cycle Innovations, 2001.
DOI : 10.1115/2001-GT-0037

K. Truffin and T. Poinsot, Comparison and extension of methods for acoustic identification of burners, Combustion and Flame, vol.142, issue.4, pp.388-400, 2005.
DOI : 10.1016/j.combustflame.2005.04.001