A. G. Barnston, M. Chelliah, and S. B. Goldenberg, Documentation of a highly ENSO-related SST region in the equatorial Pacific, Atmos.-Ocean, vol.35, pp.367-383, 1997.

G. E. Box and G. M. Jenkins, Time Series Analysis: Forecasting and Control, 1970.
DOI : 10.1002/9781118619193

M. A. Cane and S. E. Zebiak, A Theory for El Nino and the Southern Oscillation, Science, vol.228, issue.4703, pp.1085-1087, 1985.
DOI : 10.1126/science.228.4703.1085

J. G. Charney, THE DYNAMICS OF LONG WAVES IN A BAROCLINIC WESTERLY CURRENT, Journal of Meteorology, vol.4, issue.5, pp.136-162, 1947.
DOI : 10.1175/1520-0469(1947)004<0136:TDOLWI>2.0.CO;2

J. G. Charney, Geostrophic Turbulence, Journal of the Atmospheric Sciences, vol.28, issue.6, pp.1087-1095, 1971.
DOI : 10.1175/1520-0469(1971)028<1087:GT>2.0.CO;2

M. Collins, R. Knutti, J. Arblaster, J. Dufresne, T. Fichefet et al., Climate change 2013: the physical science basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, Long-term Climate Change: Projections, Commitments and Irreversibility, pp.1029-1136, 2013.

P. D. Craig and M. L. Banner, Modeling Wave-Enhanced Turbulence in the Ocean Surface Layer, Journal of Physical Oceanography, vol.24, issue.12, pp.2546-2559, 1994.
DOI : 10.1175/1520-0485(1994)024<2546:MWETIT>2.0.CO;2

A. Crisanti, M. Jensen, A. Vulpiani, and G. Paladin, Intermittency and predictability in turbulence, Physical Review Letters, vol.70, issue.2, pp.166-169, 1993.
DOI : 10.1103/PhysRevLett.70.166

D. Faranda and F. M. Pons, Statistical early-warning indicators based on autoregressive moving-average models, Journal of Physics A: Mathematical and Theoretical, vol.47, issue.25, p.47, 2014.
DOI : 10.1088/1751-8113/47/25/252001

URL : https://hal.archives-ouvertes.fr/cea-01383485

M. Farge, Wavelet Transforms and their Applications to Turbulence, Annual Review of Fluid Mechanics, vol.24, issue.1, pp.395-458, 1992.
DOI : 10.1146/annurev.fl.24.010192.002143

URL : https://hal.archives-ouvertes.fr/hal-01299264

M. Ghil, M. Allen, M. Dettinger, K. Ide, D. Kondrashov et al., Advanced spectral methods for climatic time series, Reviews of Geophysics, vol.115, issue.4, pp.100310-1029, 2002.
DOI : 10.1029/2000RG000092

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.1826

R. Govindan, K. Narayanan, and M. Gopinathan, On the evidence of deterministic chaos in ECG: Surrogate and predictability analysis, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.5, issue.2, pp.495-502, 1998.
DOI : 10.1103/PhysRevE.57.4594

A. Grinsted, J. C. Moore, and S. Jevrejeva, Application of the cross wavelet transform and wavelet coherence to geophysical time series, Nonlinear Processes in Geophysics, vol.11, issue.5/6, pp.561-56610, 2004.
DOI : 10.5194/npg-11-561-2004

URL : https://hal.archives-ouvertes.fr/hal-00302394

P. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, coherent structures, dynamical systems and symmetry, pp.1-420, 1998.
DOI : 10.1017/cbo9780511622700

P. Huang, S. Xie, K. Hu, G. Huang, and R. Huang, Patterns of the seasonal response of tropical rainfall to global warming, Nature Geoscience, vol.39, issue.5, pp.357-361, 2013.
DOI : 10.1038/ngeo1792

S. Jiang, F. Jin, and M. Ghil, Multiple Equilibria, Periodic, and Aperiodic Solutions in a Wind-Driven, Double-Gyre, Shallow-Water Model, Journal of Physical Oceanography, vol.25, issue.5, pp.764-786, 1995.
DOI : 10.1175/1520-0485(1995)025<0764:MEPAAS>2.0.CO;2

A. N. Kolmogorov, Dissipation of Energy in the Locally Isotropic Turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.434, issue.1890, pp.16-18, 1941.
DOI : 10.1098/rspa.1991.0076

P. Koteswaram, The easterly jet stream in the tropics, Tellus, vol.10, pp.43-57, 1958.

C. Lamriben, P. Cortet, and F. Moisy, Direct Measurements of Anisotropic Energy Transfers in a Rotating Turbulence Experiment, Physical Review Letters, vol.107, issue.2, pp.10-1103, 2011.
DOI : 10.1103/PhysRevLett.107.024503

P. Langevin, Sur la théorie du mouvement brownien, C. R. Acad. Sci. Paris, vol.146, pp.530-533, 1908.

C. Leith, Atmospheric Predictability and Two-Dimensional Turbulence, Journal of the Atmospheric Sciences, vol.28, issue.2, pp.145-161, 1971.
DOI : 10.1175/1520-0469(1971)028<0145:APATDT>2.0.CO;2

V. Lucarini, A. Speranza, and R. Vitolo, Self-Scaling of the Statistical Properties of a Minimal Model of the Atmospheric Circulation, Nonlinear Dynamics in Geosciences, pp.197-219, 2007.
DOI : 10.1007/978-0-387-34918-3_12

N. Mölders and G. Kramm, Lectures in Meteorology, pp.1-591, 2014.
DOI : 10.1007/978-3-319-02144-7

R. E. Moritz, C. M. Bitz, and E. J. Steig, Dynamics of Recent Climate Change in the Arctic, Science, vol.297, issue.5586, pp.1497-1502, 2002.
DOI : 10.1126/science.1076522

C. D. Murray and S. F. Dermott, Solar system dynamics, pp.1-608, 1999.

S. E. Nicholson, A revised picture of the structure of the " monsoon " and land ITCZ over West Africa, Climate Dynamics, pp.1155-1171, 2009.

A. R. Osborne and A. Provenzale, Finite correlation dimension for stochastic systems with power-law spectra, Physica D: Nonlinear Phenomena, vol.35, issue.3, pp.357-381, 1989.
DOI : 10.1016/0167-2789(89)90075-4

G. Paladin and A. Vulpiani, Predictability in spatially extended systems, Journal of Physics A: Mathematical and General, vol.27, issue.14, 1994.
DOI : 10.1088/0305-4470/27/14/018

C. Penland and T. Magorian, Prediction of Ni??o 3 Sea Surface Temperatures Using Linear Inverse Modeling, Journal of Climate, vol.6, issue.6, pp.1067-1076, 1993.
DOI : 10.1175/1520-0442(1993)006<1067:PONSST>2.0.CO;2

E. J. Pitcher, Application of Stochastic Dynamic Prediction to Real Data, Journal of the Atmospheric Sciences, vol.34, issue.1, pp.3-21, 1977.
DOI : 10.1175/1520-0469(1977)034<0003:AOSDPT>2.0.CO;2

A. Pouquet and R. Marino, Geophysical Turbulence and the Duality of the Energy Flow Across Scales, Physical Review Letters, vol.111, issue.23, pp.10-1103, 2013.
DOI : 10.1103/PhysRevLett.111.234501

D. Schertzer and S. Lovejoy, Nonlinear variability in geophysics, pp.1-318, 1991.
URL : https://hal.archives-ouvertes.fr/hal-00331025

S. D. Schubert, M. J. Suarez, and J. Schemm, Persistence and Predictability in a Perfect Model, Journal of the Atmospheric Sciences, vol.49, issue.3, pp.256-269, 1992.
DOI : 10.1175/1520-0469(1992)049<0256:PAPIAP>2.0.CO;2

M. C. Serreze and R. G. Barry, Processes and impacts of Arctic amplification: A research synthesis, Global Planet, Change, vol.77, pp.85-96, 2011.

M. C. Serreze and J. A. Francis, The Arctic Amplification Debate, Climatic Change, vol.67, issue.19, pp.241-264, 2006.
DOI : 10.1007/s10584-005-9017-y

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.455.7080

T. G. Shepherd, Atmospheric circulation as a source of uncertainty in climate change projections, Nature Geoscience, vol.28, issue.10, 2014.
DOI : 10.5194/tc-6-1359-2012

D. Thomson, Criteria for the selection of stochastic models of particle trajectories in turbulent flows, Journal of Fluid Mechanics, vol.8, issue.-1, pp.529-556, 1987.
DOI : 10.1175/1520-0450(1980)019 2.0.CO;2

C. Torrence and G. P. Compo, A Practical Guide to Wavelet Analysis, Bulletin of the American Meteorological Society, vol.79, issue.1, pp.61-78, 1998.
DOI : 10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2

K. E. Trenberth, The Definition of El Ni??o, Bulletin of the American Meteorological Society, vol.78, issue.12, pp.2771-2777, 1997.
DOI : 10.1175/1520-0477(1997)078<2771:TDOENO>2.0.CO;2

J. Tribbia and D. Baumhefner, Scale Interactions and Atmospheric Predictability: An Updated Perspective, Monthly Weather Review, vol.132, issue.3, pp.703-713, 2004.
DOI : 10.1175/1520-0493(2004)132<0703:SIAAPA>2.0.CO;2

C. Wang, Variability of the Caribbean Low-Level Jet and its relations to climate, Climate Dynamics, vol.78, issue.89, pp.411-422, 2007.
DOI : 10.1007/s00382-007-0243-z