1. Dritschel, D. G.: Contour dynamics and contour surgery: numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows, Computer Physics Reports, 10, 77–146, 1989. \\bibitem[]{} Dritschel, D. G., Haynes, P. H., Juckes, M. N., and Shepherd, T. G.: The stability of a two-dimensional vorticity filament under uniform strain, J. Fluid Mech., 230, 647–665, 1991. \\bibitem[]{} Esler, J. G. and Haynes, P. H.: Baroclinic Wave Breaking and the Internal Variability of the Tropospheric Circulation, J. Atmos. Sci., 56, 4014–4031, 1999.
2. Geller, M. A. and Wu, M. F.: Troposphere-stratosphere general circulation statistics, Transport Processes in the Middle Atmosphere, edited by: Visconti, G. and Garcia, R., Reidel, 3–17, 1987. \\bibitem[]{} Hartman, D. L.: Stationary planetary waves in the Southern Hemisphere, J. Geophys. Res., 77, 437–471, 1977. \\bibitem[]{} Haynes, P.: Stratospheric Dynamic, Annu. Rev. Fluid Mech., 37, 263–293, 2005. \\bibitem[]{} Haynes, P. H., Poet, D. A., and Shuckburgh, E. F.: Transport and mixing in kinematic and dynamically consistent flows, J. Atmos. Sci., 64, 3640–3651, 2007. \\bibitem[]{} Hitchman, M. H. and Huesmann, A. S.: A seasonal climatology of Rossby wave breaking in the 320–2000-K layer, J. Atmos. Sci., 64, 1922–1940, 2007. \\bibitem[]{} Karpetchko, A.,Kyrnd, E., and Knudsen, B. M.: Arctic and Antarctic polar vortices 1957–2002 as seen from the ERA-40 reanalyses, J. Geophys. Res., 110, D21109, https://doi.org/10.1029/2005JD006113, 2005. \\bibitem[]{} Legras, B., Dritschel, D. G., and Calliol, P.: The erosion of a distributed two-dimensional vortex in a background straining flow, J. Fluid Mech., 441, 369–398, 2001. \\bibitem[]{} Mariotti, A., Moustaoui, M., Legras, B., and Teitelbaum, H.: Comparison between vertical ozone soundings and reconstructed potential vorticity maps by contour advectionwith surgery, J. Geophys. Res., 102, 6131–6142, 1997. \\bibitem[]{} McIntyre, M. E. and Palmer, T. N.: Breaking planetary waves in the stratosphere, Nature, 305, 593–600, 1983. \\bibitem[]{} McIntyre, M. E. and Palmer, T. N.: The surf zone in the stratosphere, J. Atmos. Terr. Phys., 46, 825–849, 1984. \\bibitem[]{} McIntyre, M. E. and Palmer, T. N.: A note on the general concept of wave breaking for Rossby and gravity waves, Pure Appl. Geophys., 123, 964–975, 1985. \\bibitem[]{} Moustaoui, M., Teitelbaum, H., and Valero, F. P. J.: Ozone laminae inside the Antactic vortex produced by pole- ward filaments, Q. J. Roy. Meteorol. Soc., 129, 3121–3136, 2003a. \\bibitem[]{} Moustaoui, M., Teitelbaum, H., and Valero, F. P. J.: Vertical displacements induced by quasi-stationnary waves in the southern Hemisphere during spring, Mon. Weather Rev., 131, 2279–2289, 2003b. \\bibitem[]{} Nakamura, M. and Plumb, R. A.: The effects of flow asymmetry on the direction of Rossby wave breaking, J. Atmos. Sci., 51, 2031–2045, 1994. \\bibitem[]{} Ndarana, T. and Waugh, D. W.: A Climatology of Rossby Wave Breaking on the Southern Hemisphere Tropopause, J. Atmos. Sci., 68, 798–811, 2011. \\bibitem[]{} Orlanski, I.: Bifurcation in Eddy Life Cycles: Implications for storm track variability, J. Atmos. Sci., 60, 993–1023, 2003. \\bibitem[]{} Peters, D. and Waugh, D. W.: Influence of barotropic shear on the poleward advection of upper tropospheric air, J. Atmos. Sci., 53, 3013–3031, 1996. \\bibitem[]{} Peters, D. and Waugh, D. W.: Rossby Wave Breaking in the Southern Hemisphere Wintertime Upper Troposphere, Mon. Weather Rev., 131, 2623–2634, 2003. \\bibitem[]{} Plumb, R. A.: Stratospheric transport, J. Meteorol. Soc. Jpn., 80, 793–809, 2002. \\bibitem[]{} Plumb, R. A., Waugh, D. W., Atkinsons, R. J., Newman, P. A. Lait, L. R., Schoeberl, M. R., Browel, E. V., Simmons, A. J., and Lowenstein, M.: Intrusion into the lower stratospheric Arctic vortex during the winter of 1991/92, J. Geophys. Res., 99, 1089–1106, 1994. \\bibitem[]{} Polvani, L. M. and Plumb, R. A.: Rossby wave breaking, filamentation and secondary vortex formation: The dynamics of a perturbed vortex, J. Atmos. Sci., 49, 462–476, 1992. \\bibitem[]{} Randel, W. J.: The seasonal evolution of planetary waves in the Southern Hemisphere stratosphere and troposphere, Q. J. Roy. Meteorol. Soc., 114, 1385–1409, 1988. \\bibitem[]{} Randel, W. and Newman, P. A.: The stratosphere in the Southern Hemisphere, in: Meteorology of the Southern Hemisphere, edited by: Karoly, D. J. and Vincent, D. G., Meteorol. Monogr., 27, 243–282, 1998. \\bibitem[]{} Riviere, G. and Orlanski, I.: Characteristics of the Atlantic storm-track eddy activity and its relation with the North Atlantic Oscillation, J. Atmos. Sci., 64, 241–266, 2007. \\bibitem[]{} Shepherd, T. G.: Transport in the middle atmosphere, J. Meteorol. Soc. Jpn., 85B, 165–191, 2007. \\bibitem[]{} Swanson, K. L.: Stationary wave accumulation and the generation of low-frequency variability on zonally varying flows, J. Atmos. Sci., 57, 2262–2280, 2000. \\bibitem[]{} Swanson, K. L., Kushner, P. J., and Held, I. M.: Dynamics of barotropic storm tracks, J. Atmos. Sci., 54, 791–810, 1997. \\bibitem[]{} Teitelbaum, H. and Moustaoui, M.: Observation of a tongue pulled out from the Antarctic vortex due to barotropic instability, SPARC 4th General Assembly, available at: http://www.atmosp.physics.utoronto.ca/SPARC/SPARC2008GA/Posters/SessionB_P97_A68_Teitelbaum.pdf, 2008. \\bibitem[]{} Teitelbaum, H., Moustaoui, M., Van Velthoven, P. F. J., and Kelder, H.: Decrease of total ozone at low latitudes in the southern hemisphere by a combination of linear and non-linear processes, Q. J. Roy. Meteorol. Soc., 124, 2625–2644, 1998. \\bibitem[]{} Vincent, R. A., Hertzog, A., Boccara, G., and Vial, F.: Quasi-Lagrangian superpressure balloon measurements of gravity waves momentum fluxes in the polar stratosphere of both hemispheres, Geophys. Res. Lett., 34, L19804, https://doi.org/10.1029/2007GL031072, 2007. \\bibitem[]{} Waugh, D. W. and Plumb, R. A.: Contour advection with surgery: A technique for investigating fine scale structure in tracer transport, J. Atmos. Sci., 51, 330–540, 1994. \\bibitem[]{} Waugh, D. W. and Polvani, L. M.: Intrusions into the tropical upper troposphere, Geophys. Res. Lett., 27, 3857–3860, 2000. \\bibitem[]{} Waugh, D. W. and Polvani, L. M.: Stratospheric polar vortices, in: The Stratosphere: Dynamics, Chemistry, and Transport, Geophys. Monogr. Ser., 190, edited by: Polvani, L. M., Sobel, A. H., and Waugh, D. W., pp. 43–57, AGU, Washington, D.C., 2010. \\bibitem[]{} Waugh, D. W. and Randel, W. J.: Climatology of Arctic and Antarctic polar vortices using elliptical diagnostics, J. Atmos. Sci., 56, 1594–1613, 1999. \\bibitem[]{} Waugh, D. W., Plumb, R. A., Atkinsons, R. J. , Schoeberl, M. R., Lait, L. R., Newman, P. A., Lowenstein, M., Toohey, D. W., Avallone, L. M., Webster, C. R., and May, R. D.: Transport out of the lower stratospheric Arctic vortex by Rossby wave breaking, J. Geophys. Res., 99, 1071–1088, 1994.
3. Wirth, V.: What causes the seasonal cycle of stationary waves in the southern stratosphere?, J. Atmos. Sci., 48, 1194–1200, 1991.