 |
 |
Abarbanel H. D. I. (1996) Analysis of Observed Chaotic Data. Springer-Verlag, New York, 272 pp
Akaike H. (1969) Fitting autoregressive models for prediction. Ann. Inst. Statist. Math. 21, 243-247
Akaike H. (1974) A new look at the statistical model identification. IEEE Trans. Autom. Control 19, 716-723
Allen M. (1992) Interactions Between the Atmosphere and Oceans on Time Scales of Weeks to Years. PhD thesis University of Oxford, 202 pp
Allen M., Smith L. A. (1994) Investigating the origins and significance of low-frequency modes of climate variability. Geophys. Res. Lett. 21, 883-886
Allen M. R., Robertson A. W. (1996) Distinguishing modulated oscillations from coloured noise in multivariate datasets. Clim. Dyn. 12, 775-784
Allen M. R., Smith L. A. (1996) Monte Carlo SSA: Detecting irregular oscillations in the presence of coloured noise. J. Clim. 9, 3373-3404
Allen M. R., Smith L. A. (1997) Optimal filtering in singular spectrum analysis. Phys. Lett. A 234, 419-428
Allen M. R., Read P., Smith L. (1992a) Temperature time-series? Nature 355, 686
Allen M. R., Read P., Smith L. (1992b) Temperature oscillations. Nature 359, 679
Arneodo A., Argoul F., Muzy J. F., Tabard M. (1993) Beyond classical multifractal analysis using wavelets: Uncovering a multiplicative process hidden in the geometrical complexity of diffusion limited aggregates. Fractals 1, 629-649
Arnold V. I. (1973) Ordinary Differential Equations. MIT Press, Cambridge MA London England, 280 pp
Arnold V. I. (1983) Geometrical Methods in the Theory of Ordinary Differential Equations. Springer-Verlag, New York Heidelberg Berlin
Barnett T. P., Hasselmann K. (1979) Techniques of linear prediction, with application to oceanic and atmospheric fields in the tropical Pacific. Rev. Geophys. Space Phys. 17, 949-968
Barnett T. P., Latif M, Graham N., Flugel M., Pazan S., White W. (1993) ENSO and ENSO-related predictability. Part I: Prediction of equatorial Pacific sea surface temperature with a hybrid coupled ocean-atmosphere model. J. Climate 6, 1545-1566
Barnston A. G., Ropelewski C. F. (1992) Prediction of ENSO episodes using canonical correlation analysis. J. Climate 5, 1316-1345
Barnston, A. G., Van den Dool H., Zebiak S., Barnett T. P., Jo M., Rodenhuis D., Cane M., Leetmaa A., Graham N., Ropelewski C., Kousky V., O'Lenic E., Livezey T. (1994) Long-lead seasonal forecasts - Where do we stand? Bull. Amer. Met. Soc. 75, 2097-2114
Benoist J. P. (1986) Analyse spectrale de signaux glaciologiques: Etude des glaces sédimentaires déposées à Dome C, Morphologie du lit d'un glacier. Thèse d'Etat USMT Grenoble
Berger A. L., Melice J. L., Hinnov L. (1991) A strategy for frequency spectra of Quaternary climate records. Clim. Dyn. 5, 227-240
Birchfield G. E., Ghil M. (1993) Climate evolution in the
Pliocene-Pleistocene as seen in deep sea
O records and in
simulations: internal variability versus orbital forcing.
J. Geophys. Res. 98(D6), 10385-10399
Blackman R. B., Tukey J. W. (1958) The Measurement of Power Spectra From the Point of View of Communication Engineering. Dover, New York
Bloomfield P. (1976) Fourier Analysis of Time Series: An Introduction. J. Wiley and Sons, New York
Boiseau M., Ghil M., Juillet-Leclerc A. (1999) Trends and interdecadal variability from South-Central Pacific coral records. Geophys. Res. Lett. 26, 2881-2884
Box G. E. P., Jenkins G. M. (1970) Time Series Analysis, Forecasting and Control. Holden-Day, San Francisco
Broomhead D. S., King G. P. (1986a) Extracting qualitative dynamics from experimental data. Physica D20, 217-236
Broomhead D. S., King G. P. (1986b) On the qualitative analysis of experimental dynamical systems. In: Sarkar S. (ed.) Nonlinear Phenomena and Chaos. Adam Hilger, Bristol, pp 113-144
Broomhead D. S., Jones R., King G. P. (1987) Topological dimension and local coordinates from time series data. J. Phys. A 20, 563-569
Burg J. P. (1967) Maximum entropy spectral analysis. In: 37th Ann. Intern. Meeting. Soc. Explor. Geophys., Oklahoma City, Oklahoma
Chang P., Wang B., Li T., , Ji L. (1994) Interactions between the seasonal cycle and the southern oscillation: Frequency entrainment and chaos in an intermediate coupled ocean-atmosphere model. Geophys. Res. Lett. 21, 2817-2820
Chao, Y., Ghil M., Li X., McWilliams J. C. 2000: Pacific interdecadal variability in this century's sea surface temperatures. Geophys. Res. Lett. 27, 2261-2264
Chappellaz J., Barnola J. M., Raynaud D., Korotkevitch Y. S., Lorius C. (1990) Ice-core record of atmospheric methane over the past 160,000 years. Nature 345, 127-131
Chatfield C. (1984) The Analysis of Time Series: An Introduction. 3 edn Chapman and Hall, New York, 286 pp
Chen F., Ghil M. (1995) Interdecadal variablity of the thermohaline circulation and high-latitude surface fluxes. J. Phys. Oceanogr. 25(11), 2547-2568
Chen F., Ghil M. (1996) Interdecadal variability in a hybrid coupled ocean-atmosphere model. J. Phys. Oceanogr. 26(8), 1561-1578
Childers D. G. (ed.) (1978) Modern Spectrum Analysis. IEEE Press, New York, 331 pp
Cochrane D., Orcutt G. H. (1949) Application of least squares regression to relationships containing autocorrelated error terms. J. Amer. Stat. Assoc. 44, 32-61
Colebrook J. M. (1978) Continuous plankton records: zooplankton and environment, North-East Atlantic and North Sea. Oceanol. Acta 1, 9-23
Constantin P., Foias C., Nicolaenko B., Témam R. (1989) Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations. Springer-Verlag, New York, 122 pp
Cook E. R., Buckley B. M., D'Arrigo R. D. (1995) Interdecadal temperature oscillations in the Southern Hemisphere: Evidence from Tasmanian tree rings since 300 B. C. In: Martinson D. G. et al. (eds.) National Natural Climate Variability on Decade-to-Century Time-Scales. National Academy Press, Washington, D.C., pp 523-532
Courant R., Hilbert D. (1953) Methods of Mathematical Physics. Vol I Wiley-Interscience, New York/London/Sidney, 560 pp
Courant R., Hilbert D. (1962) Methods of Mathematical Physics. Vol II Wiley-Interscience, New York/London/Sidney, 830 pp
Daubechies I. (1992) Ten Lectures on Wavelets. SIAM, Philadelphia PA
Delprat N., Escudé B., Guillemain P., Kronland-Martinet R., Tchamitchian P., Torrésani B. (1992) Asymptotic wavelet and gabor analysis: Extraction of instantaneous frequencies. IEEE Trans. Inform. Theory 38, 644-664
Delworth T., Manabe S., Stouffer R. (1993) Interdecadal variations of the thermohaline circulation in a coupled ocean-atmosphere model. J. Clim. 6, 1993-2011
Dettinger M. D., Ghil M. (1998) Seasonal and interannual variations of atmospheric co2 and climate. Tellus 50B, 1-24
Dettinger M. D., Ghil M., Strong C. M., Weibel W., Yiou P. (1995 a) Software expedites singular-spectrum analysis of noisy time series. Eos Trans. AGU 76(2), 12, 14, 21
(version 4.1 available
on the World Wide Web at http://www.atmos.ucla.edu/tcd/ssa)
Dettinger M. D., Ghil M., Keppenne C. (1995b) Interannual and interdecadal variability in United States surface-air temperatures, 1910-87. Clim. Change 31, 35-66
Dijkstra and Molemaker (1999) Imperfections of the North-Atlantic wind-driven ocean circulation: Continental geometry and wind stress. J. Mar. Res. 57, 1-28
Drazin P. G., King G. P. (1992) Introduction. Physica D 58, 7-11
Eckmann J.-P. (1981) Roads to turbulence in dissipative dynamical systems. Rev. Mod. Phys. 53, 643-654
Eckmann J.-P., Ruelle D. (1985) Ergodic theory of chaos and strange
attractors. Rev. Mod. Phys. 57, 617-656
and 57, 1115
Egger J. (1999) POPs and MOPs. Clim. Dyn. 15, 561-568
Elsner J. B., Tsonis A. A. (1991) Do bidecadal oscillations exist in the global temperature record? Nature 353, 551-553
Farge M. (1992) Wavelet transforms and their applications to turbulence. Ann. Rev. Fluid Mech. 24, 395-457
Farmer J. D., Ott E., Yorke J. A. (1983) The dimension of chaotic attractors. Physica D 7, 153-180
Flandrin P. (1999) Time-Frequency/Time-Scale Analysis. Academic Press, San Diego, 386 pp
Foias C., Frazho A. E., Sherman P. J. (1988) A geometric approach to the maximum likelihood spectral estimator of sinusoids in noise. IEEE Trans. Info. Theory 34, 1066-1070
Fraedrich K. (1986) Estimating the dimension of weather and climate attractors. J. Atmos. Sci. 43, 419-432
Fraedrich K., Boettger H. (1978) A wavenumber-frequency analysis of the 500 mb geopotential at 50°N. J. Atmos. Sci., 35, 745-750
Gabor D. (1946) Theory of communication. J. Inst. Electr. Eng. 93, 429-457
Ghil M. (1995) Cryothermodynamics: the chaotic dynamics of paleoclimate. Physica D77, 130-159
Ghil M. (1995) Atmospheric modeling. In: Martinson D. G. et al. (eds.) National Natural Climate Variability on Decade-to-Century Time-Scales. National Academy Press, Washington, D.C., pp 164-168
Ghil M. (1997) The SSA-MTM Toolkit: Applications to analysis and prediction of time series. Proc. SPIE 3165, 216-230
Ghil M., Childress S. (1987) Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory and Climate Dynamics. Springer-Verlag, New York, 485 pp
Ghil M., Mo K. C. (1991a) Intraseasonal oscillations in the global atmosphere. Part I: Northern hemisphere and tropics. J. Atmos. Sci. 48(5), 752-779
Ghil M., Mo K. C. (1991b) Intraseasonal oscillations in the global atmosphere. Part II: Southern hemisphere. J. Atmos. Sci. 48(5), 780-790
Ghil M., Vautard R. (1991) Interdecadal oscillations and the warming trend in global temperature time series. Nature 350(6316), 324-327
Ghil M., Yiou P. (1996) Spectral methods: What they can and cannot do for climatic time series. In: Anderson D., Willebrand J. (eds.) Decadal Climate Variability: Dynamics and Predictability. Springer-Verlag, Berlin/Heidelberg, pp 445-481
Ghil M., Taricco C. (1997) Advanced spectral analysis methods. In: Castagnoli G. C., Provenzale A. (eds.) Past and Present Variability of the Solar-Terrestrial System: Measurement, Data Analysis and Theoretical Models. Societa Italiana di Fisica, Bologna, & IOS Press, Amsterdam pp 137-159
Ghil M., Jiang N. (1998) Recent forecast skill for the El Niño/Southern Oscillation. Geophys. Res. Lett. 25, 171-174
Ghil M., Robertson A. W. (2000) Solving problems with GCMs: General circulation models and their role in the climate modeling hierarchy. In: Randall D. (ed.) General Circulation Model Development: Past, Present and Future. Academic Press, San Diego, pp 285-325
Ghil M., Kimoto M., Neelin J. D. (1991) Nonlinear dynamics and
predictability in the atmospheric sciences. Rev. Geophys. 36
(Supplement), 46-55
(U. S. National Report IUGG, 1987-91)
Gilman D. L., Fuglister, F. J., Mitchell, J. J. (1963) On the power spectrum of ``red noise." J. Atmos. Sci. 20, 182-184
Gleick J. (1987) Chaos: Making a New Science. Viking, New York, 354 pp
Golub G. H., Van Loan C. F. (1996) Matrix Computations. 3rd edn. The Johns Hopkins University Press, Baltimore London, 642 pp
Grassberger P., Procaccia I. (1983) Measuring the strangeness of strange attractors. Physica D9, 189-208
Groth A, Ghil M, 2011: Multivariate singular spectrum analysis and the road to phase synchronization, Phys Rev E 84(3 Pt 2), 036206.
Guckenheimer J., Holmes P. (1983) Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer-Verlag, New York, 459 pp
Hannan E. J. (1960) Time Series Analysis. Methuen, London, 152 pp
Hannan E. J. (1970) Multiple Time Series. Wiley, New York, 536 pp
Hasan T.(1983) Complex demodulation: Some theory and applications. In: Brillinger D. R. and Krishnaiah P. R. (eds.) Handbook of Statistics 3: Time Series in the Frequency Domain. North Holland, Amsterdam, pp 125-156
Hasselmann K. (1976) Stochastic climate models. Tellus 6, 473-485
Hasselmann K. (1988) PIPs and POPs: The reduction of complex dynamical systems using Principal Interaction and Principal Oscillation Patterns. J. Geophys. Res. 93D, 11015-11021
Haykin S., Kessler S. (1983) Prediction-error filtering and maximum-entropy spectral estimation. In: Haykin S. (ed.) Nonlinear Methods of Spectral Analysis. Springer-Verlag, Berlin, pp 9-72
Holmes P., Lumley J. L., Berkooz G. (1996) Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press
Intergovernmental Panel on Climate Change (1990) Climate Change, The IPCC Scientific Assessment, J. T. Houghton, G. J. Jenkins, and J. J. Ephraums (eds.). Cambridge Univ. Press, Cambridge, MA, 365 pp
Jenkins G. M., Watts D. G. (1968) Spectral Analysis and its Applications. Holden-Day, San Francisco
Ji M., Kumar A., Leetmaa A. (1994) An experimental coupled forecast system at the National Meteorological Center: Some early results. Tellus 46A, 398-418
Jiang N., Neelin D., Ghil M. (1995a) Quasi-quadrennial and quasi-biennial variability in the equatorial Pacific. Clim. Dyn. 12, 101-112
Jiang N., Ghil M., Neelin D. (1995b) Forecasts of equatorial Pacific SST anomalies by using an autoregressive process and singular spectrum analysis. In: Experimental Long-Lead Forecast Bulletin Vol. 4, No. 1 (Jan. 1995), pp. 24-27 and subsequent quaterly issues (1995-1997), National Meteorological Center, NOAA, U.S. Department of Commerce
Jiang S., Jin F.-F., Ghil M. (1995c) Multiple equilibria, periodic, and aperiodic solutions in a wind-driven, double-gyre, shallow-water model. J. Phys. Oceanogr. 25, 764-786
Jin F.-F., Neelin J. D., Ghil M. (1994) El Niño on the Devil's staircase: Annual subharmonic steps to chaos. Science 264, 70-72
Jin F.-F., Neelin J. D., Ghil M. (1996) El Niño/Southern Oscillation and the annual cycle: Subharmonic frequency-locking and aperiodicity. Physica D 98, 442-465
Jouzel, J., Barkov N. I., Barkov J. M., Barnola M., Bender J., Chappellaz C., Genthon V. M., Kotlyakov V., Lipenkov C., Lorius J. R., Petit D., Raynaud G., Raisbeck C., Ritz T., Sowers M., Stievenard F., Yiou P. (1993) Extending the Vostok ice-core record of paleoclimate to the penultimate glacial period. Nature 364, 407-412
Kaplan J. L., Yorke J. A. (1979) Chaotic behavior of multidimensional difference equations. In: Peitgen H. O., Walther H. O. (eds.) Functional Differential Equations and Approximation of Fixed Points Vol 730 of Lecture Notes in Mathematics. Springer-Verlag, New York, pp 228-237
Karhunen K. (1946) Zur Spektraltheorie stochastischer Prozesse. Ann. Acad. Sci. Fenicae A1, 34
Kay S. M. (1988) Modern Spectral Analysis: Theory and Applications. Prentice-Hall, Englewood Cliffs, NJ, 543 pp
Kendall M., Stuart A. (1977) The Advanced Theory of Statistics. Vol 2 4th edn Macmillan, New York
Keppenne C. L., Ghil M. (1992) Adaptive filtering and prediction of the Southern Oscillation Index. J. Geophys. Res. 97, 20449-20454
Keppenne C. L., Ghil M. (1993) Adaptive filtering and prediction of noisy multivariate signals: An application to subannual variability in atmospheric angular momentum. Intl. J. Bifurcation & Chaos 3, 625-634
Kimoto M., Ghil M. (1993) Multiple flow regimes in the Northern Hemisphere winter. Part II: Sectorial regimes and preferred transitions. J. Atmos. Sci. 50, 2645-2673
Kimoto M., Ghil M., Mo K. C. (1991) Spatial structure of the extratropical 40-day oscillation. In: Proc. 8th Conf. Atmos. Oceanic Waves and Stability. Amer. Meteorol. Soc. , Boston, MA, pp 115-116
Koch D. M., Mann M. E. (1996) Spatial and temporal variability of 7Be surface concentration. Tellus 48B, 387-398
Kosambi D. D. (1943) Statistics in function space. J. Indian Math. Soc. 7, 76-88
Kumar P., Foufoula-Georgiou E. (1997) Wavelet analysis for geophysical applications. Rev. Geophys. 35, 385-412
Kumaresan R., Tufts D. W. (1980) Data-adaptive principal component signal processing. In: Proc. Conf. Decision and Control IEEE , Albuquerque, pp 949-954
Kuo C., Lindberg C., Thomson D. J. (1990) Coherence established between atmospheric carbon dioxide and global temperature. Nature 343, 709-713
Lall U., Mann M. (1995) The Great Salt Lake: A barometer of low-frequency climatic variability. Wat. Res. Res. 31, 2503-2515
Lasota A., Mackey M. C. (1994) Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics. 2nd edn Springer-Verlag, New York
Latif M., Barnett T. (1994) Causes of decadal climate variability over the North Pacific and North America Science 266, 634-637
Lau K. M., Chan P. H. (1985) Aspects of the 40-50 day oscillation during the northern winter as inferred from outgoing longwave radiation. Mon. Wea. Rev. 113, 1889-1909
Lees J. M. (1995) Reshaping spectrum estimates by removing periodic noise: application to seismic spectral rations. Geophys. Res. Lett. 21, 199-236
Legras B., Ghil M. (1985) Persistent anomalies, blocking and variations in atmospheric predictability. J. Atmos. Sci. 42, 433-471
Leith C. E. (1975) Climate response and fluctuation dissipation. J. Atmos. Sci. 32, 2022-2026
Lichtenberg A. J., Lieberman M. A. (1991) Regular and Chaotic Dynamics. 2nd edn Springer-Verlag, New York, 692 pp
Loève M. (1945) Fonctions aléatoires de second ordre. C. R. Acad. Sci. Paris 220
Lorenz E. N. (1963) Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130-141
Lorenz E. N. (1969) Atmospheric predictability as revealed by naturally occurring analogues. J. Atmos. Sci. 26, 636-646
MacDonald G. J. (1989) Spectral analysis of time series generated by nonlinear processes. Rev. Geophys. 27, 449-469
Mallat S. (1998) A Wavelet Tour of Signal Processing. Academic Press, San Diego, 577 pp
Mallat S., Zhang Z. (1993) Matching pursuit with time-frequency dictionaries. IEEE Trans. Signal Process. 41, 3397-3415
Mandelbrot B. B. (1982) The Fractal Geometry of Nature. 2nd edn Freeman, San Francisco, 460 pp
Mañé R. (1981) On the dimension of the compact invariant sets of certain non-linear maps. In: Rand D. A., Young L.-S. (eds.) Dynamical Systems and Turbulence Vol 898 of Lecture Notes in Mathematics. Springer, Berlin, pp 230-242
Mann M. E., Park J. (1993) Spatial correlations of interdecadal variation in global surface temperatures. Geophys. Res. Lett. 20, 1055-1058
Mann M. E., Park J. (1994) Global scale modes of surface temperature variability on interannual to century time scales. J. Geophys. Res. 99, 25819-25933
Mann M. E., Park J. (1996a) Greenhouse warming and changes in the seasonal cycle of temperature: model versus observations. Geophys. Res. Lett. 23, 1111-1114
Mann M. E., Park J. (1996b) Joint spatiotemporal modes of surface temperature and sea level pressure variablity in the Northern Hemisphere during the last century. J. Clim. 9, 2137-2162
Mann M. E., Lees J. M. (1996) Robust estimation of background noise and signal detection in climatic time series. Clim. Change 33, 409-445
Mann M. E., Park J. (1999) Oscillatory spatiotemporal signal detection in climate studies: A multiple-taper spectral domain approach. Adv. Geophys. 41, 1-131
Mann M. E., Lall U., Saltzman B. (1995a) Decadal-to-centennial-scale climate variability: Insights into the rise and fall of the Great Salt Lake. Geophys. Res. Lett. 22(8), 937-940
Mann M. E., Park J., Bradley R. S. (1995b) Global interdecadal and century-scale climate oscillations during the past five centuries. Nature 378, 266-270
Meyer Y. (1992) Wavelets and Operators. Cambridge University Press, Cambridge (England), 223 pp
Meyer Y. (1993) Wavelets: Algorithms and Applications. SIAM, Philadelphia PA, 133 pp
Meyers S. D., Kelly B. G., O'Brien J. J. (1993) An introduction to wavelet analysis in oceanography and meteorology: with application to the dispersion of Yanai waves. Mon. Wea. Rev. 121, 2858-2866
Mitchell J. M. (1976) An overview of climatic variability and its causal mechanisms. Quatern. Res. 6, 481-493
Mommersteeg H., Loutre M. F., Young R., Wijmstra T. A., Hooghiemstra H. (1995) Orbital forced frequencies in the 975000 year pollen record from Tenagi Philippon (Greece). Clim. Dyn. 11, 4-24
Moron V., Vautard R., Ghil M. (1998) Trends, interdecadal and interannual oscillations in global sea-surface temperatures. Clim. Dyn. 14, 545-569
Neelin J. D. (1990) A hybrid coupled general circulation model for El Niño studies. J. Atmos. Sci. 47, 674-693
Neelin J. D., Latif M., Jin F.-F. (1994) Dynamics of coupled ocean-atmosphere models: the tropical problem. Annu. Rev. Fluid Mech. 26, 617-659
Neelin J. D., Battisti D. S., Hirst A. C., Jin F.-F., Wakata Y., Yamagata T., Zebiak S. E. (1998) ENSO theory. J. Geophys. Res. 103, 14261-14290
Ooms M. (1988) Empirical Vector Autoregressive Modeling. Springer-Verlag
Ott E., Sauer T., Yorke J. A. (eds.) (1994) Coping with Chaos, Analysis of Chaotic Data and the Exploitation of Chaotic Systems. J. Wiley & Sons, 418 pp
Packard N. H., Crutchfield J. P., Farmer J. D., Shaw R. S. (1980) Geometry from a time series. Phys. Rev. Lett. 45, 712-716
Palus M., Dvorák I. (1992) Singular value decomposition in attractor reconstruction: pitfalls and precautions. Physica D55, 221-234
Park J. (1992) Envelope estimation for quasi-periodic geophysical signals in noise: A multitaper approach. In: Walden A. T., Guttorp P. (eds.) Statistics in the Environmental & Earth Sciences. Edward Arnold, pp 189-219
Park J., Maasch K. A. (1993) Plio-Pleistocene time evolution of the 100-kyr cycle in marine paleoclimate records. J. Geophys. Res. 98, 447-461
Park J., Lindberg C. R., Vernon F. L. I. (1987) Multitaper spectral analysis of high frequency seismograms. J. Geophys. Res. 92, 12675-12684
Penland C. (1989) Random forcing and forecasting using Principal Oscillation Pattern analysis. Mon. Weather Rev. 117, 2165-2185
Penland C. (1996) A stochastic model of IndoPacific sea surface temperature anomalies. Physica D 98, 534-558
Penland C., Ghil M. (1993) Forecasting Northern Hemisphere 700-mb geopotential height anomalies using empirical normal modes. Mon. Wea. Rev. 121, 2355-2372
Penland C., Ghil M., Weickmann K. (1991) Adaptive filtering and maximum entropy spectra, with application to changes in atmospheric angular momentum. J. Geophys. Res. 96(D12), 22659-22671
Percival D. B., Walden A. T. (1993) Spectral Analysis for Physical Applications. Cambridge University Press, Cambridge UK, 583 pp
Pike E. R., McWhirter J. G., Bertero M., de Mol C. (1984) Generalized information theory for inverse problems in signal processing. IEE Proc. 131, 660-667
Plaut G., Vautard R. (1994) Spells of low-frequency oscillations and weather regimes in the northern hemisphere. J. Atmos. Sci. 51(2), 210-236
Plaut G., Ghil M., Vautard R. (1995) Interannual and interdecadal variability in 335 years of Central England temperatures. Science 268, 710-713
Preisendorfer R. W. (1988) Principal Component Analysis in Meteorology and Oceanography. Elsevier, Amsterdam, 425 pp
Press W. H., Flannery B. P., Teukolski S. A., Vettering W. T. (1988) Numerical Recipes: The Art of Scientific Computing. Cambridge University Press, 818 pp
Priestley, M. B. (1981a) Spectral Analysis and Time Series, vol. 1 (Univariate Series). Academic Press San Diego, 653 pp
Priestley, M. B. (1981b) Spectral Analysis and Time Series, vol. 2 (Multivariate Series, Prediction and Control). Academic Press San Diego, pp 654-890
Quinn T. M., Taylor F. W., Crowley T. J. (1993) A 173 year stable isotope record from a tropical south pacific coral. Quat. Sci. Rev. 12, 407-418
Quon C., Ghil M. (1995) Multiple equilibria and stable oscillations in thermosolutal convection at small aspect ratio. J. Fluid Mech. 291, 33-56
Rahmstorf S. (1995) Bifurcation of the Atlantic thermohaline circulation in response to changes in the hydrological cycle. Nature 378, 145-149
Rasmusson E. M., Wang X., Ropelewski C. F. (1990) The biennial component of ENSO variability. J. Mar. Syst. 1, 71-96
Rayner N. A., Folland C. K., Parker D. E., Horton E. B. (1995) A new global sea-ice and sea surface temperature (GISST) data set for 1903-1994 for forcing climate models. Hadley Centre Internal Note No. 69, pp 13
Robertson A. W. (1996) Interdecadal variability over the North Pacific in a multi-century climate simulation. Clim. Dyn. 12, 227-241
Robertson A. W., Ma C.-C., Mechoso C. R., Ghil M. (1995a) Simulation of the Tropical-Pacific climate with a coupled ocean-atmosphere general circulation model. Part I: The seasonal cycle. J. Clim. 8, 1178-1198
Robertson A. W., Ma C.-C., Ghil M., Mechoso C. R. (1995b) Simulation of the Tropical-Pacific climate with a coupled ocean-atmosphere general circulation model. Part II: Interannual variability. J. Clim. 8, 1199-1216
Robertson A. W., Mechoso C. R. (1998) Interannual and decadal cycles in river flows of southeastern South America. J. Climate 11, 2570-2581
Robertson A. W., Mechoso C. R. (2000) Interannual and interdecadal variability of the South Atlantic Convergence Zone. Mon. Wea. Rev. 128, 2947-2957
Jones1987ropelewskijones-1987 Ropelewski C. F., Jones P. D. (1987) An extension of the Tahiti-Darwin Southern Oscillation index. Mon. Wea. Rev. 115, 2161-2165
Roux J. C., Rossi A., Bachelart S., Vidal C. (1980) Representation of a strange attractor from an experimental study of chemical turbulence. Phys. Lett. A 77, 391-393
Ruelle D. (1981) Small random perturbations of dynamical systems and the definition of attractors. Commun. Math. Phys. 82, 137-151
Ruelle D. (1990) Deterministic chaos: the science and the fiction. Proc. Roy Soc. London, Ser. A 427, 241-248
Ruelle D., Takens F. (1971) On the nature of turbulence. Commun.
Math. Phys. 20, 167-192
and 23:343-344
Sauer T., Yorke J. A., Casdagli M. (1991) Embedology. J. Stat. Phys. 65, 579-616
Saunders A., Ghil M., Neelin J.D. (1997) Forecasts of Niño-3 SST anomalies and SOI based on singular spectrum analysis combined with the maximum entropy method (1997-2000), Experimental Long-Lead Forecasts Bulletin Vol. 6, No. 3 (Sept. 1997), pp 43-44; subsequent quarterly issues published also electronically, http://grads.igs.org/ellfb (1997-2000)
Schuster A. (1898) On the investigation of hidden periodicities with application to a supposed 26-day period of meteorological phenomena. J. Geophys. Res. 3, 13-41
Shannon C. E. (1949) Communication in the presence of noise. Proc. I.R.E. 37, 10-21
Slepian S. (1978) Prolate spheroidal wave functions, Fourier analysis and uncertainty-V: The discrete case. Bell. Sys. Tech. J. 57, 1371-1430
Smale S. (1967) Differentiable dynamical systems. Bull. Amer. Math. Soc. 73, 199-206
Speich S., Dijkstra H., Ghil M. (1995) Successive bifurcations in a shallow-water model, applied to the wind-driven ocean circulation. Nonlin. Proc. Geophys. 2, 241-268
Stoker J. J. (1950) Nonlinear Vibrations in Mechanical and Electrical Systems, Wiley-Interscience, New York, 273 pp
Strang G. (1989) Wavelets and dilation equations: a brief introduction. SIAM Rev. 31(4), 614-627
Sutton R. T., Allen M. R. (1997) Decadal predictability of North Atlantic sea surface temperature and climate. Nature 388 563-567
Takens F. (1981) Detecting strange attractors in turbulence. In: Rand D. A., Young L.-S. (eds.) Dynamical Systems and Turbulence Vol 898 of Lecture Notes in Mathematics. Springer, Berlin, pp 366-381
Témam R. (1997) Infinite-Dimensional Dynamical Systems in Mechanics and Physics, 2nd Ed., Springer-Verlag, New York, 648 pp
Thomson D. J. (1982) Spectrum estimation and harmonic analysis. Proc. IEEE 70(9), 1055-1096
Thomson D. J. (1990a) Quadratic-inverse spectrum estimates: applications to palaeoclimatology. Phil. Trans. R. Soc. Lond. A 332, 539-597
Thomson D. J. (1990b) Time series analysis of Holocene climate data. Phil. Trans. R. Soc. Lond. A 330, 601-616
Thomson D. J. (1995) The seasons, global temperature, and precession. Science 268, 59-68
Thomson D. J., Chave A. D. (1990) Jackknifed error estimates for spectra, coherences, and transfer functions, Ch. 2 in Haykin, S. (Ed.), Advances in Spectrum Analysis. Prentice-Hall
Torrence C., Compo G. P. (1998) A practical guide to wavelet analysis. Bull. Amer. Meteorol. Soc. 79, 61-78
Tziperman E., Stone L., Cane M. A., Jarosh H. (1994) El Niño chaos: overlapping of resonances between the seasonal cycle and the Pacific ocean-atmosphere oscillator. Science 264, 72-74
Unal Y. S., Ghil M. (1995) Interannual and interdecadal oscillation patterns in sea level. Clim. Dyn. 11, 255-278
Van den Dool, H. M. (1994) Searching for analogues, how long must we wait? em Tellus 46A, 314-324
Van der Pol B. (1940) Biological rhythms considered as relaxation oscillations. Acta Med. Scand. Suppl. 108, 76-87
Vautard R., Ghil M. (1989) Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series. Physica D35, 395-424
Vautard R., Yiou P., Ghil M. (1992) Singular spectrum analysis: a toolkit for short noisy chaotic signals. Physica D 58, 95-126
Venegas S. A., Mysak L. A., Straub, D. N. (1997) Atmosphere-ocean coupled variability in the South Atlantic. J. Climate 10, 2904-2920
Von Storch H., Zwiers F.W. (1999) Statistical Analysis in Climate Research, Cambridge University Press, Cambridge, UK, 484 pp
Von Storch H., Bruns T., Fischer-Bruns I., Hasselmann K. (1988) Principal oscillation pattern analysis of the 30-to-60-day oscillation in general circulation model equatorial troposphere. J. Geophys. Res. 93D, 11022-11036
Walker G. (1931) On periodicity in series of related terms. Proc. Roy. Soc. (London) Ser. A 131, 518-532
Wang B., Wang Y. (1996) Temporal structure of the southern oscillation as revealed by waveform and wavelet analysis. J. Clim. 9, 1586-1598
Weare B. C., Nasstrom J. N. (1982) Examples of extended empirical orthogonal function analyses. Mon. Wea. Rev. 110, 784-812
Weaver A. J., Marotzke J., Cummins P. F., Sarachik E. S. (1993) Stability and variability of the thermohaline circulation. J. Phys. Oceanogr. 23, 39-60
Weng H.-Y., Lau K.-M. (1994) Wavelets, period-doubling and time-frequency localization with application to satellite data analysis. J. Atmos. Sci. 51, 2523-2541
Whitney B. (1936) Differentiable manifolds. Ann. Math. 37, 645-680
Whittle P. (1952) The simultaneous estimation of a time series harmonic component and covariance structure. Trab. Estadist 3, 43-57
Wiener N. (1949) Extrapolation, Interpolation and Smoothing of Stationary Time Series, with Engineering Applications. M.I.T. Press, Cambridge, MA, 163 pp
Wiggins S. (1988) Global Bifurcations and Chaos (Analytical Methods). Springer-Verlag, New York, 494 pp.
Yiou P. (1994) Dynamique du Paléoclimat: Des Données et des Modèles. PhD thesis Université Pierre et Marie Curie Paris 6, 183 pp
Yiou P., Genthon C., Jouzel J., Ghil M., Le Treut H., Barnola J. M., Lorius C., Korotkevitch Y. N. (1991) High-frequency paleovariability in climate and in CO2 levels from Vostok ice-core records. J. Geophys. Res. 96(B12), 20365-20378
Yiou P., Ghil M., Jouzel J., Paillard D., Vautard R. (1994) Nonlinear variability of the climatic system, from singular and power spectra of Late Quaternary records. Clim. Dyn. 9, 371-389
Yiou P., Jouzel J., Johnsen S., Rögnvaldsson Ö. E. (1995) Rapid oscillations in Vostok and GRIP ice cores. Geophys. Res. Lett. 22(16), 2179-2182
Yiou P., Loutre M. F., Baert E. (1996) Spectral analysis of climate data. Surveys Geophys. 17, 619-663
Yiou P., Fuhrer K., Meeker L. D., Jouzel J., Johnsen S., Mayewski P. A. (1997) Paleoclimatic variability inferred from the spectral analysis of Greenland and Antarctic ice core data. J. Geophys. Res. 102(C12), 26441-26454
Yiou P., Sornette D., Ghil M. (2000) Data-adaptive wavelets and multi-scale SSA. Physica D 142, 254-290
Yule G. U. (1927) On a method of investigating periodicities in disturbed series. Phil. Trans. Roy. Soc. (London) Ser. A 226, 267-298
Zebiak, S. E., Cane M. A., (1987) A model El Niņo Southern Oscillation. Mon. Wea. Rev. 115, 2262-2278
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