H. Amit and P. Olson, Helical core flow from geomagnetic secular variation, Physics of the Earth and Planetary Interiors, vol.147, issue.1, pp.1-25, 2004.
DOI : 10.1016/j.pepi.2004.02.006

H. Amit and P. Olson, Time-average and time-dependent parts of core flow, Physics of the Earth and Planetary Interiors, vol.155, issue.1-2, pp.120-139, 2006.
DOI : 10.1016/j.pepi.2005.10.006

H. Amit, P. Olson, and U. Christensen, Tests of core flow imaging methods with numerical dynamos, Geophysical Journal International, vol.168, issue.1, pp.27-39, 2007.
DOI : 10.1111/j.1365-246X.2006.03175.x

J. Aubert, Steady zonal flows in spherical shell dynamos, Journal of Fluid Mechanics, vol.542, issue.-1, pp.53-67, 2005.
DOI : 10.1017/S0022112005006129

J. Aubert, D. Brito, H. Nataf, P. Cardin, and J. Masson, A systematic experimental study of rapidly rotating spherical convection in water and liquid gallium, Physics of the Earth and Planetary Interiors, vol.128, issue.1-4, pp.51-74, 2001.
DOI : 10.1016/S0031-9201(01)00277-1

J. Aubert, N. Gillet, and P. Cardin, Quasigeostrophic models of convection in rotating spherical shells, Geochemistry, Geophysics, Geosystems, vol.71, issue.18, pp.10-1029, 1052.
DOI : 10.1029/2002GL015422

J. Aubert, H. Amit, and G. Hulot, Detecting thermal boundary control in surface flows from numerical dynamos, Physics of the Earth and Planetary Interiors, vol.160, issue.2, pp.143-156, 2007.
DOI : 10.1016/j.pepi.2006.11.003

URL : https://hal.archives-ouvertes.fr/hal-00144095

G. E. Backus, Kinematics of Geomagnetic Secular Variation in a Perfectly Conducting Core, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.263, issue.1141, pp.239-266, 1968.
DOI : 10.1098/rsta.1968.0014

J. Bloxham, The dynamical regime of fluid flow at the core surface, Geophysical Research Letters, vol.86, issue.6, pp.585-588, 1988.
DOI : 10.1029/GL015i006p00585

J. Bloxham, Simple models of fluid flow at the core surface derived from geomagnetic field models, Geophysical Journal International, vol.99, issue.1, pp.173-182, 1989.
DOI : 10.1111/j.1365-246X.1989.tb02022.x

J. Bloxham and A. Jackson, Fluid flow near the surface of Earth's outer core, Reviews of Geophysics, vol.94, issue.2, pp.97-120, 1991.
DOI : 10.1029/90RG02470

F. H. Busse, Thermal instabilities in rapidly rotating systems, Journal of Fluid Mechanics, vol.22, issue.03, pp.441-460, 1970.
DOI : 10.1086/148106

F. H. Busse, Generation of planetary magnetism by convection, Physics of the Earth and Planetary Interiors, vol.12, issue.4, pp.350-358, 1976.
DOI : 10.1016/0031-9201(76)90030-3

F. H. Busse, Convective flows in rapidly rotating spheres and their dynamo action, Physics of Fluids, vol.14, issue.4, pp.1301-1314, 2002.
DOI : 10.1063/1.1455626

P. Cardin and P. Olson, Chaotic thermal convection in a rapidly rotating spherical shell: consequences for flow in the outer core, Physics of the Earth and Planetary Interiors, vol.82, issue.3-4, pp.235-259, 1994.
DOI : 10.1016/0031-9201(94)90075-2

M. Celaya and J. Wahr, Aliasing and noise in core-surface flow inversions, Geophysical Journal International, vol.126, issue.2, pp.447-469, 1996.
DOI : 10.1111/j.1365-246X.1996.tb05302.x

U. Christensen and J. Aubert, Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields, Geophysical Journal International, vol.166, issue.1, pp.97-114, 2006.
DOI : 10.1111/j.1365-246X.2006.03009.x

URL : https://hal.archives-ouvertes.fr/hal-00149194

A. Chulliat and G. Hulot, Local computation of the geostrophic pressure at the top of the core, Physics of the Earth and Planetary Interiors, vol.117, issue.1-4, pp.309-328, 2000.
DOI : 10.1016/S0031-9201(99)00104-1

S. Danilov and D. Gurarie, Rhines scale and spectra of the ??-plane turbulence with bottom drag, Physical Review E, vol.65, issue.6, 2002.
DOI : 10.1103/PhysRevE.65.067301

C. Eymin and G. Hulot, On core surface flows inferred from satellite magnetic data, Physics of the Earth and Planetary Interiors, vol.152, issue.3, pp.200-220, 2005.
DOI : 10.1016/j.pepi.2005.06.009

URL : https://hal.archives-ouvertes.fr/insu-00372754

D. Fearn, P. H. Roberts, and A. M. Soward, Convection, stability and the dynamo, Energy stability and convection Longman Scientific and Technical, 1998.

A. Fournier, C. Eymin, and T. Alboussiere, A case for variational geomagnetic data assimilation: insights from a one-dimensional, nonlinear, and sparsely observed MHD system. Nonlinear processes in geophysics, pp.163-180, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00331098

B. Galperin, S. Sukoriansky, and H. Huang, Universal n???5 spectrum of zonal flows on giant planets, Physics of Fluids, vol.13, issue.6, pp.1545-1548, 2001.
DOI : 10.1063/1.1373684

N. Gillet and C. A. Jones, The quasi-geostrophic model for rapidly rotating spherical convection outside the tangent cylinder, Journal of Fluid Mechanics, vol.554, issue.-1, pp.343-369, 2006.
DOI : 10.1017/S0022112006009219

URL : https://hal.archives-ouvertes.fr/insu-00266196

N. Gillet, D. Brito, D. Jault, and H. Nataf, Experimental and numerical studies of convection in a rapidly rotating spherical shell, Journal of Fluid Mechanics, vol.580, pp.83-121, 2007.
DOI : 10.1017/S0022112007005265

C. Gire and J. L. , Tangentially geostrophic flow at the core-mantle boundary compatible with the observed geomagnetic secular variation: the large-scale component of the flow, Physics of the Earth and Planetary Interiors, vol.59, issue.4, pp.259-287, 1990.
DOI : 10.1016/0031-9201(90)90234-O

G. Glatzmaier and P. H. Roberts, A three-dimensional self-consistent computer simulation of a geomagnetic field reversal, Nature, vol.377, issue.6546, pp.203-209, 1995.
DOI : 10.1038/377203a0

D. Gubbins, Dynamics of the secular variation, Physics of the Earth and Planetary Interiors, vol.68, issue.1-2, pp.170-182, 1991.
DOI : 10.1016/0031-9201(91)90016-B

D. Gubbins and P. H. Roberts, Magnetohydrodynamics of the Earth's core, in Geomagnetism, 1987.

M. Heimpel, J. Aurnou, and J. Wicht, Simulation of equatorial and high-latitude jets on Jupiter in a deep convection model, Nature, vol.438, issue.7065, pp.193-196, 2005.
DOI : 10.1038/nature04208

R. Holme and N. Olsen, Core surface flow modelling from high-resolution secular variation, Geophysical Journal International, vol.166, issue.2, pp.518-528, 2006.
DOI : 10.1111/j.1365-246X.2006.03033.x

G. Hulot, J. L. Le-mouël, and D. Jault, The flow at the core-mantle boundary: Symmetry properties., Journal of geomagnetism and geoelectricity, vol.42, issue.7, pp.857-874, 1990.
DOI : 10.5636/jgg.42.857

G. Hulot, J. L. Le-mouël, and J. Wahr, Taking into account truncation problems and geomagnetic model accuracy in assessing computed flows at the core-mantle boundary, Geophysical Journal International, vol.108, issue.1, pp.224-246, 1992.
DOI : 10.1111/j.1365-246X.1992.tb00852.x

URL : https://hal.archives-ouvertes.fr/insu-01404391

G. Hulot, C. Eymin, B. Langlais, M. Mandea, and N. Olsen, Small-scale structure of the geodynamo inferred from Oersted and Magsat satellite data, Nature, vol.416, issue.6881, pp.416-620, 2002.
DOI : 10.1038/416620a

A. Jackson, Kelvin's Theorem Applied to the Earth's Core, Proc. R. Soc. Lond. A, pp.2195-2201, 1996.
DOI : 10.1098/rspa.1996.0116

A. Jackson, Time-dependency of tangentially geostrophic core surface motions, Physics of the Earth and Planetary Interiors, vol.103, issue.3-4, pp.293-311, 1997.
DOI : 10.1016/S0031-9201(97)00039-3

A. Jackson, J. Bloxham, and D. Gubbins, Time-dependent flow at the core surface and conservation of angular momentum in the coupled core-mantle system, Dynamics of the Earth's deep interior and Earth rotation, Geophysical Monograph Series, vol.92, pp.97-107, 1993.

D. Jault, Axial invariance of rapidly varying diffusionless motions in the Earth???s core interior, Physics of the Earth and Planetary Interiors, vol.166, issue.1-2
DOI : 10.1016/j.pepi.2007.11.001

D. Jault, C. Gire, and J. Mouël, Westward drift, core motions and exchanges of angular momentum between core and mantle, Nature, vol.333, issue.6171, pp.353-356, 1988.
DOI : 10.1038/333353a0

C. A. Jones, Thermal and Compositional Convection in the Outer Core, Treatise on Geophysics, 2007.
DOI : 10.1016/B978-044452748-6/00130-9

C. A. Jones, A. I. Mussa, and S. J. Worland, Magnetoconvection in a rapidly rotating sphere: the weak-field case, Proc. Roc. Soc.A, 459, pp.773-797, 2003.
DOI : 10.1098/rspa.2002.1048

R. A. Langel and R. H. Estes, A geomagnetic field spectrum, Geophysical Research Letters, vol.23, issue.4, pp.250-253, 1982.
DOI : 10.1029/GL009i004p00250

L. Huy, M. , M. Mandea, J. Mouël, and A. Pais, Time evolution of the fluid flow at the top of the core. Geomagnetic jerks, Earth, Planets and Space, vol.48, issue.B5, pp.163-173, 2000.
DOI : 10.1186/BF03351625

L. Mouël, J. , C. Gire, and T. Madden, Motions at core surface in the geostrophic approximation, Physics of the Earth and Planetary Interiors, vol.39, issue.4, pp.270-287, 1985.
DOI : 10.1016/0031-9201(85)90140-2

J. R. Lister, Thermal winds forced by inhomogeneous boundary conditions in rotating, stratified, hydromagnetic fluid, Journal of Fluid Mechanics, vol.505, pp.163-178, 2004.
DOI : 10.1017/S0022112004008298

S. Maus, M. Rother, C. Stolle, W. Mai, S. Choi et al., Third generation of the Potsdam Magnetic Model of the Earth (POMME), Geochemistry, Geophysics, Geosystems, vol.111, issue.12, pp.10-1029, 2006.
DOI : 10.1029/2006GC001269

J. E. Mound and B. A. Buffett, Interannual oscillations in length of day: Implications for the structure of the mantle and core, Journal of Geophysical Research: Solid Earth, vol.388, issue.B7, pp.10-1029, 2003.
DOI : 10.1029/2002JB002054

N. Olsen and M. Mandea, Investigation of a secular variation impulse using satellite data: The 2003 geomagnetic jerk, Earth and Planetary Science Letters, vol.255, issue.1-2, pp.94-105, 2007.
DOI : 10.1016/j.epsl.2006.12.008

. Choi, CHAOS -a model of the Earth's magnetic field derived from CHAMP, Ørsted, and SAC-C magnetic satellite data, Geophys. J. Int, vol.166, pp.67-75, 2006.

P. Olson and J. Aurnou, A polar vortex in the Earth's core, Nature, vol.402, issue.6758, pp.170-173, 1999.
DOI : 10.1038/46017

P. Olson, U. Christensen, and G. A. Glatzmaier, Numerical modeling of the geodynamo: Mechanisms of field generation and equilibration, Journal of Geophysical Research: Solid Earth, vol.24, issue.B5, pp.10383-10404, 1999.
DOI : 10.1029/1999JB900013

P. Olson, I. Sumita, and J. Aurnou, Diffusive magnetic images of upwelling patterns in the core, Journal of Geophysical Research: Solid Earth, vol.86, issue.B12, pp.10-1029, 2002.
DOI : 10.1029/2001JB000384

A. Pais and G. Hulot, Length of day decade variations, torsional oscillations and inner core superrotation: evidence from recovered core surface zonal flows, Physics of the Earth and Planetary Interiors, vol.118, issue.3-4, pp.291-316, 2000.
DOI : 10.1016/S0031-9201(99)00161-2

M. A. Pais, O. Oliveira, and F. Nogueira, Nonuniqueness of inverted coremantle boundary flows and deviations from tangential geostrophy, J. geophys. Res, vol.109, pp.10-1029, 2004.

S. Rau, U. Christensen, A. Jackson, and J. Wicht, Core flow inversion tested with numerical dynamo models, Geophys, J. Int, vol.141, pp.485-497, 2000.

P. H. Roberts and D. Gubbins, Origin of the main field: kinematics, in Geomagnetism, 1987.

N. Schaeffer and P. Cardin, Quasigeostrophic model of the instabilities of the Stewartson layer in flat and depth-varying containers, Physics of Fluids, vol.17, issue.10, 2005.
DOI : 10.1063/1.2073547

URL : https://hal.archives-ouvertes.fr/hal-00016419

B. Sreenivasan and C. A. Jones, Azimuthal winds, convection and dynamo action in the polar regions of planetary cores, Geophysical & Astrophysical Fluid Dynamics, vol.100, issue.4-5, pp.319-339, 2006.
DOI : 10.1080/03091929308203600

A. W. Thomson and V. Lesur, An improved geomagnetic data selection algorithm for global geomagnetic field modelling, Geophys, J. Int, vol.169, pp.951-963, 2007.

C. V. Voorhies, T. J. Sabaka, and M. Purucker, On magnetic spectra of Earth and Mars, Journal of Geophysical Research, vol.46, issue.E6, pp.10-1029, 2002.
DOI : 10.1029/2001JE001534

K. A. Whaler and R. G. Davis, Probing the Earth's core with geomagnetism in Earth's Deep Interior, pp.114-166, 1997.

K. Zhang, X. Liao, and F. H. Busse, Asymptotic solutions of convection in rapidly rotating non-slip spheres, Journal of Fluid Mechanics, vol.578, pp.371-380, 2007.
DOI : 10.1017/S002211200700523X