J. Odier and . Pinton, Magnetohydrodynamics measurements in the von Karman sodium experiment, Phys. Fluids, vol.14, issue.3046, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00492374

A. Stepanov and . Sukhanovsky, Non-stationary screw flow in a toroidal channel: way to a laboratory dynamo experiment, 2002.

A. Ravelet, F. Chiffaudel, J. Daviaud, and . Léorat, Towards an experimental von Karman dynamo: numerical studies for an optimized design Galerkin analysis of kinematic dynamos in the von Kármán geometry, Phys. Fluids Phys. Fluids, vol.17, issue.18, 2006.

F. Avalos-zunñiga and . Plunian, Influence of electro-magnetic boundary conditions onto the onset of dynamo action in laboratory experiments, Phys. Rev. E, vol.68, 2003.

F. Avalos-zunñiga and . Plunian, Influence of inner and outer walls electromagnetic properties on the onset of a stationary dynamo Eur

B. Leprovost and . Dubrulle, The turbulent dynamo as an instability in a noisy medium, The European Physical Journal B, vol.37, issue.3, 2005.
DOI : 10.1140/epjb/e2005-00138-y
URL : https://hal.archives-ouvertes.fr/hal-00001417

F. Fauve and . Pétrélis, Effect of turbulence on the onset and saturation of fluid dynamos, Peyresq Lectures on Nonlinear Phenomena, pp.1-64, 2003.

-. Laval, P. Blaineau, N. Leprovost, B. Dubrulle, and F. Daviaud, Influence of Turbulence on the Dynamo Threshold, Physical Review Letters, vol.96, issue.20, 2006.
DOI : 10.1103/PhysRevLett.96.204503
URL : https://hal.archives-ouvertes.fr/hal-00016684

S. Petrelis and . Fauve, Inhibition of the dynamo effect by phase fluctuations, Europhys. Lett, vol.76, issue.602, 2006.

. Ravelet, Bifurcations globales hydrodynamiques et magnétohydrodynamiques dans un écoulement de von Kármán turbulent, Ecole Polytechnique, 2005.

P. Volk, J. Odier, and . Pinton, Fluctuation of magnetic induction in von K??rm??n swirling flows, Physics of Fluids, vol.18, issue.8, 2006.
DOI : 10.1063/1.2265009

. Lortz, Exact solutions of the hydromagnetic dynamo problem, Plasma Physics, vol.10, issue.11, p.967, 1968.
DOI : 10.1088/0032-1028/10/11/301

. Yu and . Ponomarenko, Theory of the hydromagnetic generator, J. Appl. Mech. Tech. Phys, vol.14, issue.775, 1973.

H. Roberts, Dynamo theory, Irreversible Phenomena and Dynamical Systems Analysis in Geosciences, pp.73-133, 1987.

D. Gilbert, Fast dynamo action in the Ponomarenko dynamo, Geophysical & Astrophysical Fluid Dynamics, vol.282, issue.1-4, 1988.
DOI : 10.1017/S0022112087001800

A. Ruzmaikin, D. D. Sokoloff, and A. M. Shukurov, Hydromagnetic screw dynamo, Journal of Fluid Mechanics, vol.2, issue.-1, 1988.
DOI : 10.1088/0032-1028/10/11/301

. Basu, Screw dynamo and the generation of nonaxisymmetric magnetic fields, Physical Review E, vol.56, issue.3, 28691997.
DOI : 10.1103/PhysRevE.56.2869

D. Gilbert and Y. Ponty, Slow Ponomarenko dynamos on stream surfaces, Geophys. Fluid Dyn, vol.93, issue.55, 2000.

D. Gilbert, Dynamo Theory, Handbook of MathematicalFluid Dynamics, pp.355-441, 2003.
DOI : 10.1016/S1874-5792(03)80011-3

Y. Gailitis and . Freiberg, Non uniform model of a helical dynamo, Magnetohydrodynamics N.Y, vol.16, issue.11, 1980.

O. Gailitis, S. Lielausis, E. Dementiev, A. Platacis, G. Cifersons et al., Detection of a Flow Induced Magnetic Field Eigenmode in the Riga Dynamo Facility, Physical Review Letters, vol.84, issue.19, 2000.
DOI : 10.1103/PhysRevLett.84.4365

=. , =. ?1, and ¯. =1, The labels correspond to a 1.5; b 1.25; c 1, FIG. 8. Same as Fig, 2007.

P. Frick, V. Noskov, S. Denisov, S. Khripchenko, D. Sokoloff et al., Nonstationary screw flow in a toroidal channel: way to a laboratory dynamo experiment, Magnetohydrodynamics, vol.38, pp.143-162, 2002.

R. Monchaux, M. Berhanu, P. Bourgoin, M. Odier, J. Moulin et al., Generation of a Magnetic Field by Dynamo Action in a Turbulent Flow of Liquid Sodium, Physical Review Letters, vol.98, issue.4, p.44502, 2006.
DOI : 10.1103/PhysRevLett.98.044502
URL : https://hal.archives-ouvertes.fr/hal-00492342

R. Volk, F. Ravelet, R. Monchaux, M. Berhanu, A. Chiffaudel et al., Transport of Magnetic Field by a Turbulent Flow of Liquid Sodium, Physical Review Letters, vol.97, issue.7, p.74501, 2006.
DOI : 10.1103/PhysRevLett.97.074501
URL : https://hal.archives-ouvertes.fr/hal-00712191

A. D. Gilbert, Dynamo Theory, In: Handbook of Mathematical Fluid Dynamics, issue.2, pp.355-441, 2003.
DOI : 10.1016/S1874-5792(03)80011-3

Y. U. Ponomarenko, Theory of the hydromagnetic generator, Journal of Applied Mechanics and Technical Physics, vol.31, issue.No. 1, p.755, 1973.
DOI : 10.1007/BF00853190

G. O. Roberts, Dynamo Action of Fluid Motions with Two-Dimensional Periodicity, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.271, issue.1216, p.411, 1972.
DOI : 10.1098/rsta.1972.0015

L. Marié, C. Normand, and F. Daviaud, Galerkin analysis of kinematic dynamos in the von K??rm??n geometry, Physics of Fluids, vol.18, issue.1, pp.17102-187, 2006.
DOI : 10.1063/1.2158267

B. Babyliss, A. Forest, C. Terry, and P. , Magnetic field generation and saturation in a mechanically forced spherical dynamo, Magnetohydrodynamics, vol.38, pp.107-120, 2004.

G. Batchelor, The theory of homogeneous turbulence, 1953.

M. Bourgoin, Etudes en magnétohydrodynamique, applicationàapplication`applicationà l'effet dynamo, 2003.

E. Bullard, The stability of a homopolar dynamo, Proc. Camb. Phil. Soc. 51, pp.744-760, 1955.
DOI : 10.1098/rsta.1954.0018

F. Busse, 1975 A model of geodynamo. Geophys, J. R. Astr. Soc, issue.42

F. Busse, Dynamo theory of planetory magnetism and laboratory experiments, p.197, 1992.

P. Cardin, D. Jault, H. Nataf, and J. Masson, Towards a rapidly rotating liquid sodium dynamo experiment, Magnetohydrodynamics, vol.38, pp.177-189, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00000875

S. D. Childress and A. Gilbert, Twist, Fold : The Fast Dynamo, Stretch, 1995.

A. Courvoisier, Dynamo Action and the Generation of Large-Scale Magnetic Fields in Astrophysics, 2006.

W. Dobler, P. Frick, and . Stepanov, Screw dynamo in a time-dependent pipe flow, Physical Review E, vol.67, issue.5, p.56309, 2003.
DOI : 10.1103/PhysRevE.67.056309

C. Fargant and F. Plunian, Etudes de la dynamo de Roberts modulée périodiquement dans le temps, 2005.

C. Forest, A. Babyliss, R. Kendrich, M. Nornberg, R. Oconnel et al., Hydrodynamic and numerical modeling of a spherical homogeneous dynamo experiment, Magnetohydrodynamics, vol.38, pp.107-120, 2002.

P. Frick, V. Noskov, S. Denisov, S. Khripchenko, D. Sokoloff et al., Non-stationary screw flow in a toroidal channel : way to a laboratory dynamo experiment, Magnetohydrodynamics, vol.38, pp.143-162, 2002.

A. Gailitis and J. Freibergs, Theory of a helical MHD dynamo, Magnetohydrodynamics, vol.12, issue.127, 1976.

A. Gailitis, O. Lielausis, S. Dementiev, E. Platacis, A. Cifersons et al., Detection of a Flow Induced Magnetic Field Eigenmode in the Riga Dynamo Facility, Physical Review Letters, vol.84, issue.19, pp.4365-4368, 2000.
DOI : 10.1103/PhysRevLett.84.4365

A. Gailitis, O. Lielausis, E. Platacis, S. Dementiev, A. Cifersons et al., Magnetic Field Saturation in the Riga Dynamo Experiment, Magnetic field saturation in the Riga dynamo experiment, p.3024, 2001.
DOI : 10.1103/PhysRevLett.86.3024

Y. Gallet, A. Genevey, L. Goff, M. Fluteau, F. Eshraghi et al., Possible impact of the Earth's magnetic field on the history of ancient civilizations, Earth and Planetary Science Letters, vol.246, issue.1-2, pp.17-26, 2006.
DOI : 10.1016/j.epsl.2006.04.001

A. Gilbert, Fast dynamo action in the Ponomarenko dynamo, Geophysical & Astrophysical Fluid Dynamics, vol.282, issue.1-4, 1988.
DOI : 10.1017/S0022112087001800

A. Gilbert, Dynamo Theory, Handbook of Mathematical Fluid Dynamics, vol.2, pp.355-441, 2003.
DOI : 10.1016/S1874-5792(03)80011-3

A. Gilbert and Y. Ponty, Dynamos on stream surfaces of a highly conducting fluid, Geophysical & Astrophysical Fluid Dynamics, vol.6, issue.1-2, pp.55-95, 2000.
DOI : 10.1098/rsta.1990.0097

F. Krause and K. Rädler, Mean field magnetohydrodynamics and dynamo theory, 1980.

R. Laguerre, Approximation deséquationsdeséquations de la magnétohydrodynamique par une méthode hybride spectrale -´ eléments finis nodaux : applicationàapplicationà l'effet dynamo, 2007.

R. Laguerre, C. Nore, J. Léorat, and J. Guermond, Influence of conductivity jumps in the enveloppe of a kinematic flow, C. R. Mecanique, vol.334, 2006.

J. Larmor, 1919 how could a rotating body such as the sun become a magnet ? Rep, Brit. Assoc. Sci. p, 1919.

N. Leprovost, Influence des petiteséchellespetiteséchelles sur la dynamiquè a grandé echelle en turbulence hydro et magnétohydrodynamique, 2004.

N. Leprovost and B. Dubrulle, The turbulent dynamo as an instability in a noisy medium, The European Physical Journal B, vol.37, issue.3, p.395, 2005.
DOI : 10.1140/epjb/e2005-00138-y
URL : https://hal.archives-ouvertes.fr/hal-00001417

F. Lowes and I. Wilkinson, Geomagnetic Dynamo: A Laboratory Model, Nature, vol.250, issue.4886, 0198.
DOI : 10.1038/1981158a0

F. Lowes and I. Wilkinson, Geomagnetic Dynamo: An Improved Laboratory Model, Nature, vol.58, issue.5155, 1968.
DOI : 10.1016/0003-4916(58)90054-X

L. Marié, Transport de moment cinétique et de champ magnétique par unécouleunécoulement turbillonnaire turbulent : influence de la rotation, 2003.

L. Marié, C. Normand, and F. Daviaud, Galerkin analysis of kinematic dynamos in the von K` arman geometry, 2006.

U. Müller, R. Stieglitz, and S. Horanyi, A two-scale hydromagnetic dynamo experiment, Journal of Fluid Mechanics, vol.498, pp.31-71, 2004.
DOI : 10.1017/S0022112003006700

H. Moffatt, Magnetic field generation in electrically conducting fluids, 1978.

R. Monchaux, M. Berhanu, M. Bourgoin, P. Odier, M. Moulin et al., Generation of magnetic field by a turbulent flow of liquid sodium, Phys. Rev. Lett, issue.044502, p.98, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00492342

N. Mordant, J. Pinton, and F. Chilla, Characterization of Turbulence in a Closed Flow, Journal de Physique II, vol.7, issue.11, 1997.
DOI : 10.1051/jp2:1997212
URL : https://hal.archives-ouvertes.fr/jpa-00248545

U. Müller and R. Stieglitz, Can the Earth's magnetic field be simulated in the laboratory?, Naturwissenschaften, vol.87, issue.9, p.381, 2000.
DOI : 10.1007/s001140050746

H. Nataf, T. Alboussì-ere, D. Brito, P. Cardin, N. Gagniere et al., Towards a rapidly rotating liquid sodium dynamo experiment, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00000875

C. Normand, Ponomarenko dynamo with time-periodic flow, Physics of Fluids, vol.15, issue.6, pp.1606-1611, 2003.
DOI : 10.1063/1.1571547

E. Parker, Hydromagnetic Dynamo Models., Hydromagnetic dynamo models, p.293, 1955.
DOI : 10.1086/146087

E. Parker, The generation of magnetic fields in astrophysical bodies, Astrophys. J, vol.162, p.655, 1970.

F. Petrelis, Etude des mécanismes d'instabilité et de saturation du champ magnétique, 2003.

F. Petrelis and S. Fauve, Inhibition of the dynamo effect by phase fluctuations, Europhysics Letters (EPL), vol.76, issue.4, pp.602-608, 2006.
DOI : 10.1209/epl/i2006-10313-4

M. Peyrot, F. Plunian, and C. Normand, Parametric instability of the helical dynamo, Physics of Fluids, vol.19, issue.5, p.54109, 2007.
DOI : 10.1063/1.2734118
URL : https://hal.archives-ouvertes.fr/hal-00381972

F. Plunian, Etude de l'Effet dynao dans le coeur du réacteur Phoenix, 1996.

F. Plunian, P. Marty, and A. Alemany, Chaotic behaviour of the rhitake dynamo with symetric mechanical friction and azimuthal currents, Proc. Roy. Soc. Lond. A 454, p.1835, 1998.

F. Plunian and R. Stepanov, A non-local shell model of hydrodynamic and magnetohydrodynamic turbulence, New Journal of Physics, vol.9, issue.8, p.294, 2007.
DOI : 10.1088/1367-2630/9/8/294
URL : https://hal.archives-ouvertes.fr/insu-00347599

Y. Ponomarenko, Theory of the hydromagnetic generator, Journal of Applied Mechanics and Technical Physics, vol.31, issue.No. 1, p.755, 1973.
DOI : 10.1007/BF00853190

Y. Ponty, P. H. Pinton, and J. , Simulation of induction at low prandlt number, Phys. Rev. Lett, vol.92, pp.144-503, 2004.

Y. Ponty, P. Mininni, J. Pinton, H. Politano, and A. Pouquet, Dynamo action at low magnetic Prandtl numbers: mean flow versus fully turbulent motions, New Journal of Physics, vol.9, issue.8, p.601105, 2006.
DOI : 10.1088/1367-2630/9/8/296
URL : https://hal.archives-ouvertes.fr/hal-00388153

W. H. Press, W. T. Vetterling, and S. A. Flannery, of Fortran numerical recipe, Numerical recipies in Fortran 77, the art scientific computing second edition, 1993.

W. H. Press, W. T. Vetterling, and S. A. Flannery, of Fortran numerical recipe, Numerical recipies in Fortran 90, the artof Parallel Computing, 1999.

K. Rädler, M. Rheinhartdt, E. Apsein, and H. Fush, On the mean field theory of the Karlsruhe experiment I. Kinematic theory, Magnetohydrodynamics, vol.38, pp.41-71, 2002.

K. Rädler, M. Rheinhartdt, E. Apsein, and H. Fush, On the mean field theory of the Karlsruhe experiment II . Back-reaction of the magnetic field on the fluid flow, Magnetohydrodynamics, vol.38, pp.41-71, 2002.

T. Rikitake, Oscillations of a system ok disk dynamos, Proc. Camb, 1958.

G. Robert, 1972 Dynamo action of fluid motions with two dimensional periodicity, Phil. Trans. Soc. London A, issue.271

P. Roberts, Dynamo theory, in Irreversible Phenomena and Dynamical Systems Analysis in Geosciences, C. Nicolis & G. Nicolis, pp.73-133, 1987.

A. Ruzmaikin, D. Sokoloff, and A. Shukurov, Hydromagnetic screw dynamo, Journal of Fluid Mechanics, vol.2, issue.-1, pp.39-56, 1988.
DOI : 10.1088/0032-1028/10/11/301

D. Schmitt, T. Alboussì-ere, D. Brito, P. Cardin, N. Gagniere et al., Rotating spherical Couette flow in a dipolar magnetic field : Experimental evidence of hydromagnetic waves, Journal of Fluid Mechanic, 2007.

N. Shaeffer and P. Cardin, Quasi-geostrophic kinematic dynamos at low magnetic Prandtl number, Earth and Planetary Science Letters, vol.245, issue.3-4, pp.595-604, 2006.
DOI : 10.1016/j.epsl.2006.03.024

W. Shew, D. Sisan, and D. Lathrop, Dynamo and dynamics, a Mathematical Challenge, Proceedings of NATO advanced Research Workshop, p.83, 2001.

M. Steenbeck, F. Krause, and K. Rädler, 1966 A calculation of the mean electromotive force in a electrically conductive fluid in turbulent motion, under the influence of Coriolis forces, Z. Naturforsch, vol.21, pp.369-376

R. Stepanov and F. Plunian, Fully developed turbulent dynamo at low magnetic Prandtl numbers, Journal of Turbulence, vol.77, p.39, 2006.
DOI : 10.1080/14685240600677673
URL : https://hal.archives-ouvertes.fr/insu-00354247

R. Stieglitz and U. Müller, Experimental demonstration of a homogeneous two-scale dynamo, Physics of Fluids, vol.13, issue.3, p.561, 2001.
DOI : 10.1063/1.1331315

J. Tarduno, R. Cottrel, M. Watkeys, and D. Bauch, Geomagnetic field strength 3.2 billion years ago recorded by single silicate crystals, Nature, vol.157, issue.7136, pp.657-660, 2007.
DOI : 10.1038/nature05667

A. Torre, J. Burguete, and C. Pérèz-garcia, Influence of time dependant flows on the threshold of the kinematic dynamo action, European Physical Journal, vol.146, pp.313-320, 2007.

S. Vainshtein and Y. Zeldovich, Origin of Magnetic Fields in Astrophysics (Turbulent "Dynamo" Mechanisms), Uspekhi Fizicheskih Nauk, vol.106, issue.3, pp.431-457, 1972.
DOI : 10.3367/UFNr.0106.197203b.0431