J. Adem, A series solution for the barotropic vorticity equation and its application in the study of atmospheric vortices, pp.364-372, 1956.

P. Arbogast, K. Maynard, and F. Crépin, Ertel potential vorticity inversion using a digital filter initialization method, Quarterly Journal of the Royal Meteorological Society, vol.521, issue.13, pp.1287-1296, 2008.
DOI : 10.1002/qj.283
URL : https://hal.archives-ouvertes.fr/meteo-00339420

M. L. Blackmon, Y. H. Lee, and J. M. Wallace, Horizontal Structure of 500 mb Height Fluctuations with Long, Intermediate and Short Time Scales, Journal of the Atmospheric Sciences, vol.41, issue.6, pp.961-979, 1984.
DOI : 10.1175/1520-0469(1984)041<0961:HSOMHF>2.0.CO;2

X. Carton, Hydrodynamical modeling of oceanic vortices, Surveys in Geophysics, vol.22, issue.3, pp.179-263, 2001.
DOI : 10.1023/A:1013779219578

P. Courtier, C. Freydier, J. Geleyn, F. Rabier, and M. Rochas, The ARPEGE project at Météo-France, paper presented at ECMWF Annual Seminar, Eur. Cent. for Medium-Range Weather Forecasts, 1991.

J. Gilet, M. Plu, and G. Rivière, Nonlinear Baroclinic Dynamics of Surface Cyclones Crossing a Zonal Jet, Journal of the Atmospheric Sciences, vol.66, issue.10, pp.3021-3041, 2009.
DOI : 10.1175/2009JAS3086.1
URL : https://hal.archives-ouvertes.fr/hal-00961374

G. Holland, Tropical Cyclone Motion: Environmental Interaction Plus a Beta Effect, Journal of the Atmospheric Sciences, vol.40, issue.2, pp.328-342, 1983.
DOI : 10.1175/1520-0469(1983)040<0328:TCMEIP>2.0.CO;2

B. J. Hoskins and K. I. Hodges, New Perspectives on the Northern Hemisphere Winter Storm Tracks, Journal of the Atmospheric Sciences, vol.59, issue.6, pp.1041-1061, 2002.
DOI : 10.1175/1520-0469(2002)059<1041:NPOTNH>2.0.CO;2

J. C. Mcwilliams and G. R. , On the Evolution of Isolated, Nonlinear Vortices, Journal of Physical Oceanography, vol.9, issue.6, pp.1155-1182, 1979.
DOI : 10.1175/1520-0485(1979)009<1155:OTEOIN>2.0.CO;2

L. Oruba, G. Lapeyre, and G. Rivière, On the Northward Motion of Midlatitude Cyclones in a Barotropic Meandering Jet, Journal of the Atmospheric Sciences, vol.69, issue.6, pp.1793-1810, 2012.
DOI : 10.1175/JAS-D-11-0267.1
URL : https://hal.archives-ouvertes.fr/hal-01114746

J. G. Pinto, S. Zacharias, A. H. Fink, G. C. Leckebusch, and U. Ulbrich, Factors contributing to the development of extreme North Atlantic cyclones and their relationship with the NAO, Climate Dynamics, vol.58, issue.5, pp.711-737, 2009.
DOI : 10.1007/s00382-008-0396-4

G. Rivière and A. Joly, Role of the Low-Frequency Deformation Field on the Explosive Growth of Extratropical Cyclones at the Jet Exit. Part I: Barotropic Critical Region, Journal of the Atmospheric Sciences, vol.63, issue.8, pp.1965-1981, 2006.
DOI : 10.1175/JAS3728.1

G. Rivière, P. Arbogast, K. Maynard, and A. Joly, The essential ingredients leading to the explosive growth stage of the European wind storm " Lothar, J. R. Meteorol. Soc, vol.136, pp.638-652, 1999.

C. G. Rossby, On displacements and intensity changes of atmospheric vortices, J. Mar. Res, vol.7, pp.175-187, 1948.

J. M. Wallace, G. Lim, and M. L. Blackmon, Relationship between Cyclone Tracks, Anticyclone Tracks and Baroclinic Waveguides, Journal of the Atmospheric Sciences, vol.45, issue.3, pp.439-462, 1988.
DOI : 10.1175/1520-0469(1988)045<0439:RBCTAT>2.0.CO;2

B. Wang, X. Li, and L. Wu, Direction of Hurricane Beta Drift in Horizontally Sheared Flows, Journal of the Atmospheric Sciences, vol.54, issue.11, pp.1462-1471, 1997.
DOI : 10.1175/1520-0469(1997)054<1462:DOHBDI>2.0.CO;2