T. Alboussiere, R. Deguen, and M. Melzani, Melting-induced stratification above the Earth's inner core due to convective translation, Nature, vol.466, issue.7307, pp.744-747, 2010.

H. Amit, P. Olson, and U. Christensen, Tests of core flow imaging methods with numerical dynamos, Geophys. J. Int, vol.168, issue.1, pp.27-39, 2007.

J. Aubert, Steady zonal flows in spherical shell dynamos, J. Fluid. Mech, vol.542, pp.53-67, 2005.

J. Aubert and M. Dumberry, Steady and fluctuating inner core rotation in numerical geodynamo models, Geophys. J. Int, vol.184, issue.1, pp.162-170, 2011.
URL : https://hal.archives-ouvertes.fr/insu-01308309

J. Aubert and A. Fournier, Inferring internal properties of Earth's core dynamics and their evolution from surface observations and a numerical geodynamo model, Nonlin. Process. Geophys, vol.18, issue.5, pp.657-674, 2011.

J. Aubert, J. Aurnou, and J. Wicht, The magnetic structure of convection-driven numerical dynamos, Geophys. J. Int, vol.172, pp.945-956, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00365069

J. Aubert, S. Labrosse, and C. Poitou, Modelling the palaeo-evolution of the geodynamo, Geophys. J. Int, vol.179, issue.3, pp.1414-1428, 2009.
URL : https://hal.archives-ouvertes.fr/insu-01308294

J. Bloxham and A. Jackson, Fluid flow near the surface of Earth's outer core, Rev. Geophys, vol.29, issue.1, pp.97-120, 1991.

B. A. Buffett, Tidal dissipation and the strength of the Earth's internal magnetic field, Nature, vol.468, issue.7326, pp.952-955, 2010.

B. A. Buffett and G. A. Glatzmaier, Gravitational braking of inner-core rotation in geodynamo simulations, Geophys. Res. Lett, vol.27, issue.19, pp.3125-3128, 2000.

F. H. Busse, Thermal instabilities in rapidly rotating systems, J. Fluid. Mech, vol.44, issue.3, pp.441-460, 1970.

U. Christensen and J. Aubert, Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields, Geophys. J. Int, vol.117, pp.97-114, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00149194

U. Christensen and P. Olson, Secular variation in numerical geodynamo models with lateral variations of boundary heat flux, Phys. Earth planet. Int, vol.138, pp.39-54, 2003.

U. Christensen and A. Tilgner, Power requirement of the geodynamo from ohmic losses in numerical and laboratory dynamos, Nature, vol.429, pp.169-171, 2004.

U. R. Christensen, Geodynamo models: Tools for understanding properties of earth's magnetic field, Phys. Earth planet. Int, vol.187, pp.157-169, 2011.

U. R. Christensen, I. Wardinski, and V. Lesur, Timescales of geomagnetic secular acceleration in satellite field models and geodynamo models, Geophys. J. Int, 2012.

U. R. Christensen, J. Aubert, and G. Hulot, Conditions for Earth-like geodynamo models, Earth. planet. Sci. Lett, vol.296, issue.3-4, pp.487-496, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00540375

E. Dormy, P. Cardin, and D. Jault, MHD flow in a slightly differentially rotating spherical shell, with conducting inner core, in a dipolar magnetic field, Earth. planet. Sci. Lett, vol.160, issue.1-2, pp.15-30, 1998.

C. Finlay, A. Jackson, N. Gillet, and N. Olsen, Core surface magnetic field evolution, Geophys. J. Int, 2000.

C. C. Finlay, M. Dumberry, A. Chulliat, and M. A. Pais, Short timescale core dynamics: theory and observations, Space. Sci. Rev, vol.155, issue.1-4, pp.177-218, 2010.

A. Fournier, An Introduction to data assimilation and predictability in geomagnetism, Space. Sci. Rev, vol.155, issue.1-4, pp.247-291, 2010.
URL : https://hal.archives-ouvertes.fr/insu-00565056

A. Fournier, J. Aubert, and E. Thébault, Inference on core surface flow from observations and 3-D dynamo modelling, Geophys. J. Int, vol.186, issue.1, pp.118-136, 2011.
URL : https://hal.archives-ouvertes.fr/insu-01308359

N. Gillet, M. A. Pais, and D. Jault, Ensemble inversion of timedependent core flow models, Geochem. Geophys. Geosys, vol.10, issue.Q06004, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00377131

N. Gillet, D. Jault, E. Canet, and A. Fournier, Fast torsional waves and strong magnetic field within the Earth's core, Nature, vol.465, issue.7294, pp.74-77, 2010.

R. Holme, Large-scale flow in the core, Treatise on Geophysics, vol.8, pp.107-130, 2007.

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, vol.72, pp.97-107, 1993.

R. James, Adams and Elsasser dynamo integrals, Proc. R. Soc. Lond., A, vol.331, pp.469-478, 1587.
DOI : 10.1098/rspa.1973.0003

D. Jault, Axial invariance of rapidly varying diffusionless motions in the Earth's core interior, Phys. Earth planet. Int, vol.166, issue.1-2, pp.67-76, 2008.

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

F. Lhuillier, A. Fournier, G. Hulot, and J. Aubert, The geomagnetic secular-variation timescale in observations and numerical dynamo models, Geophys. Res. Lett, vol.38, issue.L09306, 2011.
DOI : 10.1029/2011gl047356

URL : https://hal.archives-ouvertes.fr/insu-01410184

M. Monnereau, M. Calvet, L. Margerin, and A. Souriau, Lopsided Growth of Earth's Inner Core, Science, vol.328, issue.5981, pp.1014-1017, 2010.
DOI : 10.1126/science.1186212

W. Moon, Numerical evaluation of geomagnetic dynamo integrals (Elsasser and Adams-Gaunt integrals), Comp. Phys. Comm, vol.16, issue.2, pp.267-271, 1979.
DOI : 10.1016/s0010-4655(84)82715-0

J. E. Mound and B. A. Buffett, Detection of a gravitational oscillation in length-of-day, Earth planet. Sci. Lett, vol.243, issue.3-4, pp.383-389, 2006.

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

P. Olson and U. Christensen, The time averaged magnetic field in numerical dynamos with non-uniform boundary heat flow, Geophys. J. Int, vol.151, pp.809-823, 2002.

P. Olson and R. Deguen, Eccentricity of the geomagnetic dipole caused by lopsided inner core growth, Nat. Geosci, vol.5, pp.565-569, 2012.

P. Olson, U. Christensen, and P. Driscoll, From superchrons to secular variation: a broadband dynamo frequency spectrum for the geomagnetic dipole, Earth. planet. Sci. Lett, vol.319, issue.320, pp.75-82, 2012.

M. A. Pais and D. Jault, Quasi-geostrophic flows responsible for the secular variation of the Earth's magnetic field, Geophys. J. Int, vol.173, issue.2, pp.421-443, 2008.

S. Rau, U. Christensen, A. Jackson, and J. Wicht, Core flow inversion tested with numerical dynamo models, Geophys. J. Int, vol.141, issue.2, pp.485-497, 2000.
DOI : 10.1046/j.1365-246x.2000.00097.x

URL : https://academic.oup.com/gji/article-pdf/141/2/485/1826494/141-2-485.pdf

P. H. Roberts and S. Scott, On the analysis of the secular variation. I: a hydromagnetic constraint: theory, J. Geomag. Geoelectr, vol.17, pp.137-151, 1965.

T. Sabaka, N. Olsen, and M. Purucker, Extending comprehensive models of the Earth's magnetic field with Orsted and CHAMP data, Geophys. J. Int, vol.159, issue.2, pp.521-547, 2004.

B. Sreenivasan and C. Jones, Structure and dynamics of the polar vortex in the Earth's core, Geophys. Res. Lett, p.32, 1920.

I. Sumita and P. Olson, A laboratory model for convection in earth's core driven by a thermally heterogeneous mantle, Science, vol.286, issue.5444, pp.1547-1549, 1999.
DOI : 10.1126/science.286.5444.1547

K. A. Whaler, Geomagnetic evidence for fluid upwelling at the coremantle boundary, Geophys. J. R. astr. Soc, vol.86, issue.2, pp.563-588, 1986.