B. J. Bayly, Three-Dimensional Instability of Elliptical Flow, Physical Review Letters, vol.57, issue.17, pp.2160-2163, 1986.
DOI : 10.1103/PhysRevLett.57.2160

B. J. Bayly, Three???dimensional centrifugal???type instabilities in inviscid two???dimensional flows, Physics of Fluids, vol.31, issue.1, pp.56-64, 1988.
DOI : 10.1063/1.867002

B. J. Bayly, D. D. Holm, and A. Lifschitz, Three-Dimensional Stability of Elliptical Vortex Columns in External Strain Flows, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.354, issue.1709, pp.895-926, 1996.
DOI : 10.1098/rsta.1996.0036

C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers ? Asymptotic Methods and Perturbation Theory, 1999.

B. , P. Chomaz, J. M. Huerre, and P. , Experimental study of vortex breakdown in swirling jets, J. Fluid Mech, vol.376, pp.183-219, 1998.

D. , T. Barthlott, C. Drobinski, and P. , Emergence and secondary instability of Ekman layer rolls, J. Atmos. Sci, vol.65, pp.2326-2342, 2008.

E. , K. S. Storesletten, and L. , A note on the stability of steady inviscid helical gas flows, J. Fluid Mech, vol.89, pp.401-411, 1978.

F. , S. Vishik, and M. M. , Instability criteria for the flow of an inviscid incompressible fluid, Phys. Rev. Lett, vol.66, pp.2204-2206, 1991.

G. , F. Chomaz, and J. M. , Mode selection in swirling jet experiments: a linear stability analysis, J. Fluid Mech, vol.494, pp.223-253, 2003.
URL : https://hal.archives-ouvertes.fr/hal-01024938

G. , F. Rott, S. Chomaz, and J. M. , Experimental study of a free and forced swirling jet, Phys. Fluids, vol.16, pp.2907-2917, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01024955

G. , F. Ruith, M. Meiburg, E. Chomaz, J. M. Huerre et al., Spiral vortex breakdown as a global mode, J. Fluid Mech, vol.549, pp.71-80, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01023370

G. , F. S. Cambon, C. Leblanc, and S. , Zonal approach to centrifugal, elliptic and hyperbolic instabilities in Stuart vortices with external rotation, J. Fluid Mech, vol.449, pp.1-37, 2001.

H. , Y. Fukumoto, and Y. , Short-wavelength stability analysis of thin vortex rings, Phys. Fluids, vol.15, issue.10, pp.3151-3163, 2003.

H. , Y. Fukumoto, and Y. , 2012 Effects of axial flow on the stability of a helical vortex tube, Phys. Fluids, vol.24, pp.54102-54103

H. , Y. Hijiya, and K. , Short-wavelength stability analysis of Hill's vortex with/without swirl, Phys. Fluids, vol.22, pp.74104-74105, 2010.

L. , L. Birbaud, A. L. Le-dizès, and S. , Elliptic instability in a Rankine vortex with axial flow, Phys. Fluids, vol.17, pp.1-5, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00008487

L. , S. Le-duc, and A. , The unstable spectrum of swirling gas flows, J. Fluid Mech, vol.537, pp.433-442, 2005.

L. Dizès, S. Eloy, and C. , Short-wavelength instability of a vortex in a multipolar strain field, Physics of Fluids, vol.11, issue.2, pp.500-502, 1999.
DOI : 10.1063/1.869872

L. Duc, A. Leblanc, and S. , A note on Rayleigh stability criterion for compressible flows, Physics of Fluids, vol.11, issue.11, pp.3563-3566
DOI : 10.1063/1.870217

L. , S. Stewartson, and K. , 1983 A sufficient condition for the instability of columnar vortices, J. Fluid Mech, vol.126, pp.335-356

L. , H. Maxworthy, and T. , An experimental investigation of swirling jets, J. Fluid Mech, vol.525, pp.115-159, 2005.

L. , A. Hameiri, and E. , Local stability conditions in fluid dynamics, Phys. Fluids A, vol.3, issue.11, pp.2644-2651, 1991.

L. , A. Hameiri, and E. , Localized instabilities of vortex rings with swirl, Commun. Pure Appl. Maths XLVI, pp.1379-1408, 1993.

L. , A. Suters, W. H. Beale, and J. T. , The onset of instability in exact vortex rings with swirl, J. Comput. Phys, vol.129, pp.8-29, 1996.

L. , T. Chomaz, J. &. Huerre, and P. , The effect of swirl on jets and wakes: linear instability of the Rankine vortex with axial flow, Phys. Fluids, vol.10, pp.1120-1134, 1998.

O. , K. Sieber, M. Paschereit, C. O. Petz, C. Hege et al., Three-dimensional coherent structures in a swirling jet undergoing vortex breakdown: stability analysis and empirical mode construction, J. Fluid Mech, vol.679, pp.383-414, 2011.