W. C. Strahle, On combustion generated noise, Journal of Fluid Mechanics, vol.214, issue.02, pp.399-414, 1971.
DOI : 10.1063/1.1748289

W. C. Strahle, Some results in combustion generated noise, Journal of Sound and Vibration, vol.23, issue.1, pp.113-125, 1972.
DOI : 10.1016/0022-460X(72)90792-4

S. Kotake, On combustion noise related to chemical reactions, Journal of Sound and Vibration, vol.42, issue.3, pp.399-410, 1975.
DOI : 10.1016/0022-460X(75)90253-9

F. E. Marble and S. , Acoustic disturbance from gas non-uniformities convected through a nozzle, Journal of Sound and Vibration, vol.55, issue.2, pp.225-243, 1977.
DOI : 10.1016/0022-460X(77)90596-X

W. Krebs, P. Flohr, B. Prade, and S. Hoffmann, THERMOACOUSTIC STABILITY CHART FOR HIGH-INTENSITY GAS TURBINE COMBUSTION SYSTEMS, Combustion Science and Technology, vol.27, issue.7, pp.99-128, 2002.
DOI : 10.1016/0045-7825(76)90058-X

T. Poinsot and D. Veynante, Theoretical and Numerical Combustion
URL : https://hal.archives-ouvertes.fr/hal-00270731

T. Lieuwen and V. Yang, Combustion Instabilities in Gas Turbine Engines, Operational Experience, Fundamental Mechanisms and Modeling, Progress in Astronautics and Aeronautics, 2005.

N. Worth and J. Dawson, Self-excited circumferential instabilities in a model annular gas turbine combustor: Global flame dynamics, Proceedings of the Combustion Institute, vol.34, issue.2, pp.3127-3134, 2013.
DOI : 10.1016/j.proci.2012.05.061

N. Worth and J. Dawson, Modal dynamics of self-excited azimuthal instabilities in an annular combustion chamber, Combustion and Flame, vol.160, issue.11, pp.2476-2489, 2013.
DOI : 10.1016/j.combustflame.2013.04.031

M. Leyko, F. Nicoud, S. Moreau, and T. Poinsot, Numerical and analytical investigation of the indirect combustion noise in a nozzle, Comptes Rendus M??canique, vol.337, issue.6-7, pp.415-425, 2009.
DOI : 10.1016/j.crme.2009.06.025
URL : https://hal.archives-ouvertes.fr/hal-00803811

C. Sensiau, F. Nicoud, and T. Poinsot, A Tool to Study Azimuthal Standing and Spinning Modes in Annular Combustors, International Journal of Aeroacoustics, vol.142, issue.4, pp.57-68, 2009.
DOI : 10.1260/147547209786235037
URL : https://hal.archives-ouvertes.fr/hal-00803828

C. Pankiewitz, T. Sattelmayer, and A. J. Eng, Time Domain Simulation of Combustion Instabilities in Annular Combustors, Journal of Engineering for Gas Turbines and Power, vol.125, issue.3, pp.677-685, 2003.
DOI : 10.1115/1.1582496

I. Duran and S. Moreau, Solution of the quasi-one-dimensional linearized Euler equations using flow invariants and the Magnus expansion, Journal of Fluid Mechanics, vol.467, pp.190-231, 2013.
DOI : 10.1016/j.jsv.2011.01.025

J. Parmentier, P. Salas, P. Wolf, G. Staffelbach, F. Nicoud et al., A simple analytical model to study and control azimuthal instabilities in annular combustion chambers, Combustion and Flame, vol.159, issue.7, pp.2374-2387, 2012.
DOI : 10.1016/j.combustflame.2012.02.007
URL : https://hal.archives-ouvertes.fr/hal-00802059

M. Bauerheim, J. Parmentier, P. Salas, F. Nicoud, and T. Poinsot, An analytical model for azimuthal thermoacoustic modes in an annular chamber fed by an annular plenum, Combustion and Flame, vol.161, issue.5, pp.1374-1389, 2014.
DOI : 10.1016/j.combustflame.2013.11.014
URL : https://hal.archives-ouvertes.fr/hal-00969565

A. P. Dowling, The calculation of thermoacoustic oscillations, Journal of Sound and Vibration, vol.180, issue.4, pp.557-581, 1995.
DOI : 10.1006/jsvi.1995.0100

M. Heckl and M. Howe, Stability analysis of the Rijke tube with a Green's function approach, Journal of Sound and Vibration, vol.305, issue.4-5, pp.672-688, 2007.
DOI : 10.1016/j.jsv.2007.04.027

A. Kaufmann, F. Nicoud, and T. Poinsot, Flow forcing techniques for numerical simulation of combustion instabilities, Combustion and Flame, vol.131, issue.4, pp.371-385, 2002.
DOI : 10.1016/S0010-2180(02)00419-4
URL : https://hal.archives-ouvertes.fr/hal-00910199

G. Gelbert, J. Moeck, C. Paschereit, and R. King, Feedback control of unstable thermoacoustic modes in an annular Rijke tube, Control Engineering Practice, vol.20, issue.8, pp.770-782, 2012.
DOI : 10.1016/j.conengprac.2012.03.016

T. Schuller, D. Durox, P. Palies, and S. , Acoustic decoupling of longitudinal modes in generic combustion systems, Combustion and Flame, vol.159, issue.5, pp.1921-1931, 2012.
DOI : 10.1016/j.combustflame.2012.01.010

F. Nicoud and K. Wieczorek, About the zero Mach number assumption in the calculation of thermoacoustic instabilities, International Journal of Spray and Combustion Dynamics, vol.142, issue.7, pp.67-112, 2009.
DOI : 10.1260/175682709788083335
URL : https://hal.archives-ouvertes.fr/hal-00803826