H. Aida, T. Tsukahara, and Y. , Kawaguchi Development of a turbulent spot into a stripe pattern in plane Poiseuille flow, Compte rendu pour International symposiom on turbulence and shear flow phenomena, 2011.

C. Anderek, S. S. Liu, and H. L. Swinney, Flow regimes in a circular Couette system with independently rotating cylinders, Journal of Fluid Mechanics, vol.16, issue.-1, pp.155-183, 1986.
DOI : 10.1017/S0022112084000021__S0022112084000021

K. Avila, D. Moxey, A. De-lozar, M. Avila, D. Barkley et al., The Onset of Turbulence in Pipe Flow, Science, vol.333, issue.6039, pp.192-196, 2011.
DOI : 10.1126/science.1203223

D. Barkley and L. S. Tuckerman, Stability analysis of perturbed plane Couette flow, Physics of Fluids, vol.11, issue.5, pp.1187-1195, 1999.
DOI : 10.1063/1.869987
URL : https://hal.archives-ouvertes.fr/hal-00012993

D. Barkley and L. S. Tuckerman, Computational Study of Turbulent Laminar Patterns in Couette Flow, Physical Review Letters, vol.94, issue.1, p.14502, 2005.
DOI : 10.1103/PhysRevLett.94.014502
URL : https://hal.archives-ouvertes.fr/hal-00012994

D. Barkley and L. S. Tuckerman, Mean flow of turbulent???laminar patterns in plane Couette flow, Journal of Fluid Mechanics, vol.576, pp.109-137, 2007.
DOI : 10.1017/S002211200600454X

D. Barkley, O. Dauchot, and L. S. Tuckerman, Statistical analysis of the transition to turbulent-laminar banded patterns in plane Couette flow, J. Phys. Conf. Ser, vol.137, p.12029, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00162584

D. Barkley, Simplifying the complexity of pipe flow, Physical Review E, vol.84, issue.1, p.16309, 2011.
DOI : 10.1103/PhysRevE.84.016309

D. Barkley, Modeling the transition to turbulence in shear flows, Journal of Physics: Conference Series, vol.318, issue.3, p.32001, 2011.
DOI : 10.1088/1742-6596/318/3/032001

R. Betchov and A. Szewczyk, Stability of a Shear Layer between Parallel Streams, Physics of Fluids, vol.6, issue.10, pp.1391-1396, 1963.
DOI : 10.1063/1.1710959

S. Bottin and H. Chaté, Statistical analysis of the transition to turbulence in plane Couette flow, The European Physical Journal B, vol.6, issue.1, pp.143-155, 1998.
DOI : 10.1007/s100510050536

S. Bottin, F. Daviaud, P. Manneville, and O. Dauchot, Discontinuous transition to spatiotemporal intermittency in plane Couette flow, Europhysics Letters (EPL), vol.43, issue.2, pp.171-176, 1998.
DOI : 10.1209/epl/i1998-00336-3
URL : https://hal.archives-ouvertes.fr/cea-01378779

G. Brethouwer, Y. Duguet, and P. Schlatter, Turbulent???laminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces, Journal of Fluid Mechanics, vol.96
DOI : 10.1063/1.870068

C. Canuto, M. Y. Hussaini, H. A. Quateroni, and T. A. , Zhang Spectral methods : fundamentals in single domains, 2006.

F. Charru, Instabilités hydrodynamiques, EDP sience, 2007.

D. Coles, Transition in circular Couette flow, Ch. Van Atta, pp.385-425, 1965.
DOI : 10.1007/BF02084936

D. Coles and C. , Measured distortion of a laminar circular Couette flow by end effects, Journal of Fluid Mechanics, vol.25, issue.03, pp.513-521, 1966.
DOI : 10.1017/S0022112066000223

M. C. Cross and P. C. Hohenberg, Pattern formation outside of equilibrium, Reviews of Modern Physics, vol.65, issue.3, pp.851-1123, 1993.
DOI : 10.1103/RevModPhys.65.851

F. Daviaud, J. Hegseth, and P. Bergé, Subcritical transition to turbulence in plane Couette flow, Physical Review Letters, vol.69, issue.17, pp.2511-2514, 1992.
DOI : 10.1103/PhysRevLett.69.2511
URL : https://hal.archives-ouvertes.fr/cea-01374002

O. Dauchot and P. Manneville, Local Versus Global Concepts in Hydrodynamic Stability Theory, Journal de Physique II, vol.7, issue.2, pp.371-389, 1997.
DOI : 10.1051/jp2:1997131
URL : https://hal.archives-ouvertes.fr/jpa-00248449

S. Dong, Evidence for internal structures of spiral turbulence, Physical Review E, vol.80, issue.6, p.67301, 2009.
DOI : 10.1103/PhysRevE.80.067301

Y. Duguet, P. Schlatter, and D. S. Henningson, Localized edge states in plane Couette flow, Localized edge states in plane Couette flow, p.111701, 2009.
DOI : 10.1063/1.3265962

Y. Duguet, P. Schlatter, and D. S. , Formation of turbulent patterns near the onset of transition in plane Couette flow, Journal of Fluid Mechanics, vol.2, pp.119-129, 2010.
DOI : 10.1103/PhysRevLett.69.2511

Y. Duguet, L. Brandt, and B. R. Larsson, Towards minimal perturbations in transitional plane Couette flow, Physical Review E, vol.82, issue.2, p.26316, 2010.
DOI : 10.1103/PhysRevE.82.026316

Y. Duguet, A. Willis, and R. , Slug genesis in cylindrical pipe flow, Journal of Fluid Mechanics, vol.75, pp.180-208, 2010.
DOI : 10.1063/1.1804549
URL : https://hal.archives-ouvertes.fr/hal-01021118

Y. Duguet, O. Le-ma??trema??tre, and P. , Stochastic and deterministic motion of a laminar-turbulent front in a spanwisely extended Couette flow, Physical Review E, vol.84, issue.6, p.66315, 2011.
DOI : 10.1103/PhysRevE.84.066315

B. Eckhardt, T. M. Schneider, B. Hof, and J. , Turbulence Transition in Pipe Flow, Annual Review of Fluid Mechanics, vol.39, issue.1, pp.447-468, 2007.
DOI : 10.1146/annurev.fluid.39.050905.110308

B. Eckhardt, H. Faisst, A. Schmiegel, and T. M. , Schneider Dynamical systems and the transition to turbulence in linearly stable shear flows, Phil. Trans. R. Soc. A, vol.36, pp.1297-1315, 2008.

H. Faisst and B. Eckhardt, Sensitive dependence on initial conditions in transition to turbulence in pipe flow, Journal of Fluid Mechanics, vol.504, pp.343-352, 2004.
DOI : 10.1017/S0022112004008134

C. W. Gardiner, Handbook of stochastic methods for physics, chemistry and the natural sciences, 2003.

N. Goldenfeld, N. Guttenberg, and G. Gioia, Extreme fluctuations and the finite lifetime of the turbulent state, Physical Review E, vol.81, issue.3, p.35304, 2010.
DOI : 10.1103/PhysRevE.81.035304

R. Graham, Hydrodynamic fluctuations near the convection instability, Physical Review A, vol.10, issue.5, pp.1762-1784, 1974.
DOI : 10.1103/PhysRevA.10.1762

J. M. Hamilton, J. Kim, and F. Waleffe, Regeneration mechanisms of near-wall turbulence structures, Journal of Fluid Mechanics, vol.169, issue.-1, pp.317-348, 1995.
DOI : 10.1063/1.868327

S. Hashimoto, A. Hasobe, T. Tsukahara, Y. Kawaguchi, and H. Kawamura, An experimental study on turbulent-stripe structure in transitional channel flow Turbulence, Heat and mass transfer 6, 2009.

F. Hayot and Y. Pomeau, Turbulent domain stabilization in annular flows, Physical Review E, vol.50, issue.3, pp.2019-2021, 1994.
DOI : 10.1103/PhysRevE.50.2019

H. J. Hilhorst, Processus aléatoires etprobì eles de réaction diffusion, notes de cours, 2009.

P. Hohenberg and J. Swift, Effects of additive noise at the onset of Rayleigh-B??nard convection, Physical Review A, vol.46, issue.8, pp.4773-4785, 1992.
DOI : 10.1103/PhysRevA.46.4773

P. Huerre and P. A. Monkewitz, Local and global instabilities in spatially developping flows Ann. Rev. Fluid Mech, pp.473-537, 1990.

P. Huerre, G. K. Batchelor, and H. K. Moffatt, Open shear flow instabilities, Perspectives in fluid dynamics, pp.159-229, 2000.

Y. Hwang and C. Cossu, Amplification of coherent streaks in the turbulent Couette flow: an input???output analysis at low Reynolds number, Journal of Fluid Mechanics, vol.95, pp.1-16, 2009.
DOI : 10.1017/S0022112098001323
URL : https://hal.archives-ouvertes.fr/hal-01002542

J. Jiménez and P. , The minimal flow unit in near-wall turbulence, Journal of Fluid Mechanics, vol.204, issue.-1, pp.213-240, 1991.
DOI : 10.1017/S0022112069000115

G. Kawahara, J. Jimenez, M. Uhlmann, and A. , Linear instability of a corrugated vortex sheet ??? a model for streak instability, Journal of Fluid Mechanics, vol.483, pp.315-342, 2002.
DOI : 10.1017/S002211200300421X

M. Lagha and P. Manneville, Modeling transitional plane Couette flow, The European Physical Journal B, vol.539, issue.4, pp.433-447, 2007.
DOI : 10.1140/epjb/e2007-00243-y
URL : https://hal.archives-ouvertes.fr/hal-01023090

M. Lagha and P. Manneville, Modeling of plane Couette flow. I. Large scale flow around turbulent spots, Physics of Fluids, vol.19, issue.9, p.94105, 2007.
DOI : 10.1063/1.2768946
URL : https://hal.archives-ouvertes.fr/hal-01023087

Y. Lai and T. , Transient chaos, complex dynamics on finite-time scales, 2010.

A. Lundbladh and A. V. Johansson, Direct simulation of turbulent spots in plane Couette flow, Journal of Fluid Mechanics, vol.46, issue.-1, pp.499-516, 1991.
DOI : 10.1017/S0022112072002988

P. Manneville, Spatiotemporal perspective on the decay of turbulence in wall-bounded flows, Physical Review E, vol.79, issue.2, p.25301, 2009.
DOI : 10.1103/PhysRevE.79.025301
URL : https://hal.archives-ouvertes.fr/hal-01002601

P. Manneville and J. Rolland, On modelling transitional turbulent flows using under-resolved direct numerical simulations: the case of plane Couette flow, Theoretical and Computational Fluid Dynamics, vol.41, issue.6, pp.407-420, 2011.
DOI : 10.1007/s00162-010-0215-5
URL : https://hal.archives-ouvertes.fr/hal-00997988

P. Manneville, On the decay of turbulence in plane Couette flow, Fluid Dynamics Research, vol.43, issue.6, p.65501, 2011.
DOI : 10.1088/0169-5983/43/6/065501
URL : https://hal.archives-ouvertes.fr/hal-01025564

M. Marquillie, U. Erhenstein, and J. P. , Instability of streaks in wall turbulence with adverse pressure gradient, Journal of Fluid Mechanics, vol.21, pp.205-240, 2011.
DOI : 10.1017/S0022112098001323
URL : https://hal.archives-ouvertes.fr/hal-00611038

A. Meseguer, F. Mellibovsky, M. Avila, and F. , Instability mechanisms and transition scenarios of spiral turbulence in Taylor-Couette flow, Physical Review E, vol.80, issue.4, p.46315, 2009.
DOI : 10.1103/PhysRevE.80.046315

J. Moehlis, H. Faisst, and B. Eckhardt, A low-dimensional model for turbulent shear flows, New Journal of Physics, vol.6, p.56, 2004.
DOI : 10.1088/1367-2630/6/1/056

A. Monokrousos, A. Bottaro, L. Brandt, A. D. Vita, and D. S. Henningson, Nonequilibrium Thermodynamics and the Optimal Path to Turbulence in Shear Flows, Physical Review Letters, vol.106, issue.13, p.134502, 2011.
DOI : 10.1103/PhysRevLett.106.134502

D. Moxey and D. Barkley, Distinct large-scale turbulent-laminar states in transitional pipe flow, Proc. Nat. Acad. Science, pp.8091-8096, 2010.
DOI : 10.1073/pnas.0909560107

M. Nagata, Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity, Journal of Fluid Mechanics, vol.36, issue.-1, pp.519-527, 1990.
DOI : 10.1063/1.864328

E. Ott, Chaos in dynamical systems, 1993.

J. Park, Y. Hwang, and C. Cossu, On the stability of large-scale streaks in turbulent Couette and Poiseulle flows, Comptes Rendus M??canique, vol.339, issue.1, pp.1-5, 2011.
DOI : 10.1016/j.crme.2010.10.012
URL : https://hal.archives-ouvertes.fr/hal-00915603

F. Pétrélis, S. Fauve, E. Dormy, and J. P. Valet, Simple Mechanism for Reversals of Earth???s Magnetic Field, Physical Review Letters, vol.102, issue.14, p.144503, 2009.
DOI : 10.1103/PhysRevLett.102.144503

J. Philip and P. Manneville, From temporal to spatiotemporal dynamics in transitional plane Couette flow, Physical Review E, vol.83, issue.3, p.36308, 2011.
DOI : 10.1103/PhysRevE.83.036308
URL : https://hal.archives-ouvertes.fr/hal-00997976

Y. Pomeau, Front motion, metastability and subcritical bifurcations in hydrodynamics, Physica D: Nonlinear Phenomena, vol.23, issue.1-3, pp.3-11, 1986.
DOI : 10.1016/0167-2789(86)90104-1

S. B. Pope, Turbulent flows, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00338511

A. Prigent, La spirale turbulente : motifs de grande longueur d'onde dans lesécoulementslesécoulements cisaillés turbulents, 2001.

A. Prigent, G. Grégoire, H. Chaté, O. Dauchot, and W. Van-saarlos, Large-Scale Finite-Wavelength Modulation within Turbulent Shear Flows, Physical Review Letters, vol.89, issue.1, p.14501, 2002.
DOI : 10.1103/PhysRevLett.89.014501
URL : https://hal.archives-ouvertes.fr/hal-01422416

A. Prigent, G. Grégoire, H. Chaté, and O. Dauchot, Long-wavelength modulation of turbulent shear flows, Physica D: Nonlinear Phenomena, vol.174, issue.1-4, pp.100-113, 2003.
DOI : 10.1016/S0167-2789(02)00685-1
URL : https://hal.archives-ouvertes.fr/hal-01422415

O. Reynolds, An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels, Philosophical Transactions of the Royal Society of London, vol.174, issue.0, pp.935-982, 1883.
DOI : 10.1098/rstl.1883.0029

J. Rolland and P. Manneville, Ginzburg???Landau description of laminar-turbulent oblique band formation in transitional plane Couette flow, The European Physical Journal B, vol.142, issue.4, pp.529-544, 2011.
DOI : 10.1140/epjb/e2011-10730-1
URL : https://hal.archives-ouvertes.fr/hal-00997977

J. Rolland and P. Manneville, Pattern Fluctuations in Transitional Plane Couette Flow, Journal of Statistical Physics, vol.9, issue.3, pp.577-591, 2011.
DOI : 10.1007/s10955-011-0126-x
URL : https://hal.archives-ouvertes.fr/hal-00997992

J. Rolland and P. Manneville, Turbulent pattern formation in plane Couette flow: modelling and investigation of mechanisms, Journal of Physics: Conference Series, vol.318, issue.3, p.32034, 2011.
DOI : 10.1088/1742-6596/318/3/032034
URL : https://hal.archives-ouvertes.fr/hal-01025978

J. Rolland, A short wavelength instability in oblique turbulent bands of transitional plane Couette flow, part 1 : Numerical experiments, preprint for Phys, Fluids

J. Rolland, A short wavelength instability in oblique turbulent bands of transitional plane Couette flow, part 2 : Modeling and stability analysis, preprint for Phys, Fluids

D. Samanta, A. De-lozar, and B. Hof, Experimental investigation of laminar turbulent intermittency in pipe flow, Journal of Fluid Mechanics, vol.174, pp.193-204, 2011.
DOI : 10.1017/S0022112010003435

M. Scherer, F. Ahlers, I. Hörner, and . Rehberg, Deviations from Linear Theory for Fluctuations below the Supercritical Primary Bifurcation to Electroconvection, Physical Review Letters, vol.85, issue.18, pp.3754-3757, 2000.
DOI : 10.1103/PhysRevLett.85.3754

L. Shi, M. Avila, and B. Hof, Onset of sustained turbulence in Couette flow, FOR 1182 Workshop, Dynamics of Coherent structures in turbulent flows, pp.19-21, 2011.

M. Shimizu and S. , Structure of a Turbulent Puff in Pipe Flow, Journal of the Physical Society of Japan, vol.77, issue.11, p.114401, 2008.
DOI : 10.1143/JPSJ.77.114401

M. Shimizu and S. Kida, A driving mechanism of a turbulent puff in pipe flow, Fluid Dynamics Research, vol.41, issue.4, p.45501, 2009.
DOI : 10.1088/0169-5983/41/4/045501

P. J. Schmid and D. S. Henningson, Stability and transition in shear flows, 2001.
DOI : 10.1007/978-1-4613-0185-1

T. M. Schneider, D. Marinc, and B. Eckhardt, Localized edge states nucleate turbulence in extended plane Couette cells, Journal of Fluid Mechanics, vol.44, pp.441-451, 2010.
DOI : 10.1063/1.2943675

W. Schoppa and F. Hussain, Coherent structure generation in near-wall turbulence, Journal of Fluid Mechanics, vol.453, pp.57-108, 2002.
DOI : 10.1017/S002211200100667X

J. Schumacher and B. Eckhardt, Evolution of turbulent spots in a parallel shear flow, Physical Review E, vol.63, issue.4, p.46307, 2001.
DOI : 10.1103/PhysRevE.63.046307

T. Tsukahara, Y. Seki, H. Kawamura, and D. Tochio, DNS of turbulence channel flow at very low Reynolds number in Turbulence and Shear flow phenomena 4 Wiliamsburg, p.935, 2005.

T. Tsukahara, N. Tillmark, and P. H. Alfredsson, Flow regimes in a plane Couette flow with system rotation, Journal of Fluid Mechanics, vol.174, pp.5-33, 2010.
DOI : 10.1017/S0022112091003130

T. Tsukahara, Transition to/from turbulence in subcritical flows between two infinite parallel plates Proceedings of Korea-Japan CFD workshop, pp.296-306, 2010.

L. S. Tuckerman and D. Barkley, Bifurcation analysis of the Eckhaus instability, Physica D: Nonlinear Phenomena, vol.46, issue.1, pp.57-86, 1990.
DOI : 10.1016/0167-2789(90)90113-4

L. S. Tuckerman and D. Barkley, Patterns and dynamics in transitional plane Couette flow, Physics of Fluids, vol.23, issue.4, p.41301, 2011.
DOI : 10.1063/1.3580263

. Ch and . Van-atta, Exploratory measurements in spiral turbulence, J. Fluid Mech, vol.25, pp.495-512, 1966.

E. Villermaux, On the role of viscosity in shear instabilities, Physics of Fluids, vol.10, issue.2, pp.368-373, 1998.
DOI : 10.1063/1.869529

F. Waleffe, Transition in shear flows. Nonlinear normality versus non???normal linearity, Physics of Fluids, vol.7, issue.12, pp.3060-3066, 1995.
DOI : 10.1063/1.868682

F. Waleffe, On a self-sustaining process in shear flows, Physics of Fluids, vol.9, issue.4, pp.883-900, 1996.
DOI : 10.1063/1.869185

I. J. Wygnanski and F. H. Champagne, On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug, Journal of Fluid Mechanics, vol.26, issue.02, pp.281-335, 1973.
DOI : 10.1143/JPSJ.7.489

A. P. Willis and R. R. , Turbulent dynamics of pipe flow captured in a reduced model: puff relaminarization and localized ???edge??? states, Journal of Fluid Mechanics, vol.6, pp.213-233, 2008.
DOI : 10.1017/S002211200600454X

J. Zinn-justin, Transitions de phase et groupe de renormalisation, 2005.

Q. Zhou, R. J. Stevens, K. Sugiyama, S. Grossmann, D. Lohse et al., Prandtl???Blasius temperature and velocity boundary-layer profiles in turbulent Rayleigh???B??nard convection, Journal of Fluid Mechanics, vol.68, pp.297-312, 2010.
DOI : 10.1017/S0022112009990528