P. Huerre and P. A. Monkewitz, Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, pp.473-537, 1990.
DOI : 10.1146/annurev.fl.22.010190.002353

M. Taki, N. Ouarzazi, H. Ward, and P. Glorieux, Nonlinear front propagation in optical parametric oscillators, Journal of the Optical Society of America B, vol.17, issue.6, p.997, 2000.
DOI : 10.1364/JOSAB.17.000997

P. Gondret, P. Ern, L. Meignin, and M. Rabaud, Experimental Evidence of a Nonlinear Transition from Convective to Absolute Instability, Physical Review Letters, vol.9, issue.7, pp.1442-1445, 1999.
DOI : 10.1063/1.869301

H. W. Müller, M. Lücke, and M. Kamps, Transversal convection patterns in horizontal shear flow, Physical Review A, vol.35, issue.6, pp.3714-3726, 1992.
DOI : 10.1103/PhysRevA.35.4461

H. W. Müller, M. Lücke, and M. Kamps, Convective Patterns in Horizontal Flow, Europhysics Letters (EPL), vol.10, issue.5, pp.451-456, 1989.
DOI : 10.1209/0295-5075/10/5/011

P. Büchel, M. Lücke, D. Roth, and R. Schmitz, Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flow, Physical Review E, vol.50, issue.5, pp.4764-4777, 1996.
DOI : 10.1103/PhysRevLett.50.383

A. Couairon and J. Chomaz, Pattern Selection in the Presence of a Cross Flow, Physical Review Letters, vol.1, issue.14, pp.2666-2669, 1997.
DOI : 10.1007/978-1-4684-0147-9

A. Couairon and J. Chomaz, Primary and secondary nonlinear global instability, Physica D: Nonlinear Phenomena, vol.132, issue.4, pp.428-456, 1999.
DOI : 10.1016/S0167-2789(99)00062-7

S. M. Tobias, M. R. Proctor, and E. Knobloch, Convective and absolute instabilities of fluid flows in finite geometry, Physica D: Nonlinear Phenomena, vol.113, issue.1, pp.43-72, 1998.
DOI : 10.1016/S0167-2789(97)00141-3

S. M. Tobias, M. R. Proctor, and E. Knobloch, The role of absolute instability in the solar dynamo, Astron. Astrophys, pp.318-55, 1997.

A. Couairon and J. Chomaz, Fully nonlinear global modes in slowly varying flows, Physics of Fluids, vol.318, issue.12, pp.3688-3703, 1999.
DOI : 10.1016/S0167-2789(97)00141-3

B. Pier, P. Huerre, J. Chomaz, and A. Couairon, Steep nonlinear global modes in spatially developing media, Physics of Fluids, vol.10, issue.10, pp.2433-2435, 1998.
DOI : 10.1016/S0889-9746(87)90323-9

URL : https://hal.archives-ouvertes.fr/hal-00119908

A. P. Bassom, K. M. Kuzanyan, and A. M. Soward, A nonlinear dynamo wave riding on a spatially varying background, Proc. R. Soc. London A, pp.455-1443, 1999.
DOI : 10.1098/rspa.1999.0368

A. M. Soward, Thin aspect ratio -dynamos in galactic discs and stellar shells Advances in Nonlinear Dynamos, The Fluid Mechanics of Astrophysics and Geophysics

R. J. Briggs, Electron?Stream Interaction with Plasmas, 1964.

A. Bers, Space time evolution of plasma instabilities ? absolute and convective, Handbook of Plasma Physics, pp.451-517, 1983.

A. Couairon and J. Chomaz, Global Instability in Fully Nonlinear Systems, Physical Review Letters, vol.104, issue.19, pp.4015-4018, 1996.
DOI : 10.1021/ja00378a011

A. Couairon and J. Chomaz, Absolute and convective instabilities, front velocities and global modes in nonlinear systems, Physica D: Nonlinear Phenomena, vol.108, issue.3, pp.236-276, 1997.
DOI : 10.1016/S0167-2789(97)00045-6

G. Ahlers and D. S. , Vortex-Front Propagation in Rotating Couette-Taylor Flow, Physical Review Letters, vol.19, issue.20, pp.50-1583, 1983.
DOI : 10.1063/1.861520

J. Fineberg and V. Steinberg, Vortex-front propagation in Rayleigh-B??nard convection, Physical Review Letters, vol.27, issue.13, pp.58-1332, 1987.
DOI : 10.1063/1.864714

A. Hanna, A. Saul, and K. Showalter, Detailed studies of propagating fronts in the iodate oxidation of arsenous acid, Journal of the American Chemical Society, vol.104, issue.14, 1982.
DOI : 10.1021/ja00378a011

A. Kolmogorov, I. Petrovsky, and N. Piskunov, Investigation of a diffusion equation connected to the growth of materials, and application to a problem in biology, Bull. Univ. Moscow Ser. Int. Sec. A, vol.1, issue.1, 1937.

A. C. Newell, T. Passot, and J. Lega, Order Parameter Equations for Patterns, Annual Review of Fluid Mechanics, vol.25, issue.1, 1993.
DOI : 10.1146/annurev.fl.25.010193.002151

D. G. Aronson and H. F. Weinberger, Multidimensional nonlinear diffusion arising in population genetics, Advances in Mathematics, vol.30, issue.1, 1978.
DOI : 10.1016/0001-8708(78)90130-5

M. Bramson, . Mem, and . Am, 1. [28] W. van Saarloos, Dynamical velocity selection: marginal stability 2571. [29] W. van Saarloos, Front propagation into unstable states: marginal stability as a dynamical mechanism for velocity selection, Math. Soc. Phys. Rev. Lett. Phys. Rev. A, vol.285, issue.37, p.211, 1983.

W. Van-saarloos, Front propagation into unstable states. II. Linear versus nonlinear marginal stability and rate of convergence, Physical Review A, vol.11, issue.12, 1989.
DOI : 10.1017/S0022112080002066

W. Van-saarloos and P. C. Hohenberg, Pulses and fronts in the complex Ginzburg-Landau equation near a subcritical bifurcation, Physical Review Letters, vol.63, issue.7, pp.64-749, 1990.
DOI : 10.1103/PhysRevLett.63.2801

W. Van-saarloos and P. C. , Hohenberg, Fronts, pulses, sources and sinks in generalized complex Ginzburg?Landau equations, Physica D, vol.303, p.56, 1992.

E. Ben-jacob, H. R. Brand, G. Dee, L. Kramer, and J. S. Langer, Pattern propagation in nonlinear dissipative systems, Physica D: Nonlinear Phenomena, vol.14, issue.3, p.14, 1985.
DOI : 10.1016/0167-2789(85)90094-6

G. Dee, Dynamical properties of propagating front solutions of the amplitude equation, Physica D: Nonlinear Phenomena, vol.15, issue.3, p.295, 1985.
DOI : 10.1016/S0167-2789(85)80001-4

G. Dee, Propagation into an unstable state, Journal of Statistical Physics, vol.164, issue.5-6, p.705, 1985.
DOI : 10.1007/BF01008361

J. A. Powell, A. C. Newell, and C. K. Jones, Competition between generic and nongeneric fronts in envelope equations, Physical Review A, vol.64, issue.6, 1991.
DOI : 10.1103/PhysRevLett.64.282

G. C. Paquette and Y. Oono, Structural stability and selection of propagating fronts in semilinear parabolic partial differential equations, Physical Review E, vol.27, issue.3, p.2368, 1994.
DOI : 10.1103/PhysRevA.27.499

R. D. Benguria and M. C. Depassier, Speed of Fronts of the Reaction-Diffusion Equation, Physical Review Letters, vol.337, issue.6, pp.77-1171, 1996.
DOI : 10.1098/rsta.1991.0122

E. Brunet and B. Derrida, Shift in the velocity of a front due to a cutoff, Physical Review E, vol.31, issue.3, p.2597, 1997.
DOI : 10.1002/cpa.3160310502

U. Ebert and W. Van-saarloos, Universal Algebraic Relaxation of Fronts Propagating into an Unstable State and Implications for Moving Boundary Approximations, Physical Review Letters, vol.56, issue.8, pp.80-1650, 1998.
DOI : 10.1103/PhysRevE.56.2597

J. Chomaz and A. Couairon, Propagating Pattern Selection and Causality Reconsidered, Physical Review Letters, vol.396, issue.9, pp.1910-1914, 2000.
DOI : 10.1017/S002211209900600X

URL : https://hal.archives-ouvertes.fr/hal-01025366

B. J. Zielinska and J. E. Wesfreid, On the spatial structure of global modes in wake flow, Physics of Fluids, vol.319, issue.6, pp.1418-1424, 1995.
DOI : 10.1051/jphyslet:019840045010048300

S. Goujon-durand, P. Jenffer, and J. E. Wesfreid, Downstream evolution of the B??nard???von K??rm??n instability, Physical Review E, vol.5, issue.1, 1994.
DOI : 10.1051/jphyslet:019840045010048300

H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, Transverse dynamics of optical parametric oscillators in presence of walk-off, The European Physical Journal D - Atomic, Molecular and Optical Physics, vol.3, issue.3, pp.275-288, 1998.
DOI : 10.1007/s100530050175

H. Ward, M. N. Ouarzazi, M. Taki, and P. Glorieux, Influence of walkoff on pattern formation in nondegenerate optical parametric oscillators, Physical Review E, vol.50, issue.1, pp.16604-16610, 2001.
DOI : 10.1103/PhysRevE.50.1219

N. Meunier, M. R. Proctor, D. Sokoloff, A. M. Soward, and S. M. Tobias, Asymptotic properties of a nonlin??ar ????-dynamo wave: Period, amplitude and latitude dependence, Geophysical & Astrophysical Fluid Dynamics, vol.318, issue.1-4, pp.249-285, 1997.
DOI : 10.1098/rspa.1997.0008

J. Chomaz, P. Huerre, and L. G. Redekopp, Bifurcations to Local and Global Modes in Spatially Developing Flows, Physical Review Letters, vol.89, issue.1, pp.60-85, 1988.
DOI : 10.1017/S0022112078002451

J. Chomaz and A. Couairon, Against the wind, Physics of Fluids, vol.318, issue.10, pp.2977-2983, 1999.
DOI : 10.1021/ja00378a011

J. Chomaz, Absolute and convective instabilities in nonlinear systems, Physical Review Letters, vol.33, issue.13, pp.1931-1934, 1992.
DOI : 10.1103/PhysRevLett.58.112

C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, 1978.
DOI : 10.1007/978-1-4757-3069-2

H. Chaté and P. Manneville, Stability of the Bekki-Nozaki hole solutions to the one-dimensional complex Ginzburg-Landau equation, Physics Letters A, vol.171, issue.3-4, pp.183-188, 1992.
DOI : 10.1016/0375-9601(92)90424-K

I. Aranson, L. Kramer, and A. Weber, Core instability and spatiotemporal intermittency of spiral waves in oscillatory media, Physical Review Letters, vol.71, issue.15, pp.72-2316, 1994.
DOI : 10.1103/PhysRevLett.71.1103

A. Weber, L. Kramer, I. S. Aranson, and L. Aranson, Stability limits of spirals and traveling waves in nonequilibrium media, Phys. Rev. A, vol.46, p.2992, 1992.