Carbone, R. E., J. D. Tuttle, D. A. Ahijevych, and S. B. Trier, 2002: Inferences of predictability associated with warm season precipitation episodes. J. Atmos. Sci., 59, 2033−2056,<2033:IOPAWW>2.0.CO;2.
Charney, J. G, 1966: The feasibility of a global observation and analysis experiment. Bull. Amer. Meteorol. Soc., 47, 200−221,
Chen, D. K., S. E. Zebiak, A. J. Busalacchi, and M. A. Cane, 1995: An improved procedure for EI Niño forecasting: Implications for predictability. Science, 269, 1699−1702,
Dalcher, A., and E. Kalnay, 1987: Error growth and predictability in operational ECMWF forecasts. Tellus A, 39, 474−491,
Dambacher, J. M., H. W. Li, and P. A. Rossignol, 2003: Qualitative predictions in model ecosystems. Ecological Modelling, 161, 79−93,
Ding, R. Q., and J. P. Li, 2007: Nonlinear finite-time Lyapunov exponent and predictability. Physics Letters A, 364, 396−400,
Ding, R. Q., J. P. Li, and H. A. Kyung-Ja, 2008: Nonlinear local Lyapunov exponent and quantification of local predictability. Chinese Physics Letters, 25, 1919−1922,
Duan, W. S., and M. Mu, 2005: Applications of nonlinear optimization methods to quantifying the predictability of a numerical model for El Nino-Southern Oscillation. Progress in Natural Science, 15, 915−921,
Duan, W. S., and H. Y. Luo, 2010: A new strategy for solving a class of constrained nonlinear optimization problems related to weather and climate predictability. Adv. Atmos. Sci., 27, 741−749,
Duan, W. S., and J. Y. Hu, 2016: The initial errors that induce a significant "spring predictability barrier" for El Niño events and their implications for target observation: Results from an earth system model. Climate Dyn., 46, 3599−3615,
Duan, W. S., R. Q. Ding, and F. F. Zhou, 2013: Several dynamical methods used in predictability studies for numerical weather forecasts and climate prediction. Climatic and Environmental Research, 18, 524−538, (in Chinese with English abstract)
Eckmann, J. P., and D. Ruelle, 1985: Ergodic theory of chaos and strange attractors. Reviews of Modern Physics, 57, 617−656,
Evans, E., N. Bhatti, J. Kinney, L. Pann, P. Malaquias, S. C. Yang, E. Kalnay, and J. Hansen, 2004: RISE: Undergraduates find that regime changes in Lorenz's model are predictable. Bull. Amer. Meteorol. Soc., 85, 520−524,
Feng, J., R. Q. Ding, D. Q. Liu, and J. P. Li, 2014: The application of nonlinear local Lyapunov vectors to ensemble predictions in Lorenz systems. J. Atmos. Sci., 71, 3554−3567,
Fraedrich, K., 1986: Estimating the dimensions of weather and climate attractors. J. Atmos. Sci., 43, 419−432,<0419:ETDOWA>2.0.CO;2.
Fraedrich, K., 1987: Estimating weather and climate predictability on attractors. J. Atmos. Sci., 44, 722−728,<0722:EWACPO>2.0.CO;2.
Islam, S., R. L. Bras, and K. A. Emanuel, 1993: Predictability of mesoscale rainfall in the tropics. J. Appl. Meteorol., 32, 297−310,<0297:POMRIT>2.0.CO;2.
Lavaysse, C., G. Naumann, L. Alfieri, P. Salamon, and J. Vogt, 2019: Predictability of the European heat and cold waves. Clim. Dyn., 52, 2481−2495,
Leith, C., 1965: Numerical simulation of the earth's atmosphere. Methods in Computational Physics, Academic Press, 1−28.
Leith, C. E., 1978: Predictability of climate. Nature, 276, 352−355,
Li, J. P., and R. Q. Ding, 2011: Temporal−spatial distribution of atmospheric predictability limit by local dynamical analogs. Mon. Wea. Rev., 139, 3265−3283,
Li, J. P., and R. Q. Ding, 2013: Temporal-spatial distribution of the predictability limit of monthly sea surface temperature in the global oceans. International Journal of Climatology, 33, 1936−1947,
Li, X., R. Q. Ding, and J. P. Li, 2019: Determination of the backward predictability limit and its relationship with the forward predictability limit. Adv. Atmos. Sci., 36, 669−677,
Lorenz, E. N., 1963: Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130−141,<0130:DNF>2.0.CO;2.
Lorenz, E. N., 1982: Atmospheric predictability experiments with a large numerical model. Tellus, 34, 505−513,
Lorenz, E. N., 1996: Predictability: A problem partly solved. Proc. ECMWF Seminar on Predictability, Vol. I, Reading, United Kingdom, ECMWF, 1−18.
Mintz, Y., 1968: Very long-term global integration of the primitive equations of atmospheric motion: An experiment in climate simulation. Causes of Climatic Change, D. E. Billings et al., Eds., Springer, 20−36,
Mu, M., W. S. Duan, and J. C. Wang, 2002: The predictability problems in numerical weather and climate prediction. Adv. Atmos. Sci., 19, 191−204,
Mu, M., W. S. Duan, and B. Wang, 2003: Conditional nonlinear optimal perturbation and its applications. Nonlinear Processes in Geophysics, 10, 493−501,
Mu, M., F. F. Zhou, and H. L. Wang, 2009: A method for identifying the sensitive areas in targeted observations for tropical cyclone prediction: Conditional nonlinear optimal perturbation. Mon. Wea. Rev., 137, 1623−1639,
Mukougawa, H., M. Kimoto, and S. Yoden, 1991: A relationship between local error growth and quasi-stationary states: Case study in the Lorenz system. J. Atmos. Sci., 48, 1231−1237,<1231:ARBLEG>2.0.CO;2.
Nese, J. M., 1989: Quantifying local predictability in phase space. Physica D: Nonlinear Phenomena, 35, 237−250,
Palmer, T. N., 1993: Extended-range atmospheric prediction and the Lorenz model. Bull. Amer. Meteorol. Soc., 74, 49−66,<0049:ERAPAT>2.0.CO;2.
Reynolds, C. A., P. J. Webster, and E. Kalnay, 1994: Random error growth in NMC’s global forecasts. Mon. Wea. Rev., 122, 1281−1305,<1281:REGING>2.0.CO;2.
Smagorinsky, J., 1969: Problems and promises of deterministic extended range forecasting. Bull. Amer. Meteorol. Soc., 50, 286−312,
Snyder, C., and F. Q. Zhang, 2003: Assimilation of simulated Doppler radar observations with an ensemble Kalman filter. Mon. Wea. Rev., 131, 1663−1677,
Tang, Y. M., H. Lin, and A. M. Moore, 2008: Measuring the potential predictability of ensemble climate predictions. J. Geophys. Res. Atmos., 113, D04108,
Thompson, P. D., 1957: Uncertainty of initial state as a factor in the predictability of large scale atmospheric flow patterns. Tellus, 9, 275−295,
Weisheimer, A., F. J. Doblas-Reyes, T. Jung, and T. N. Palmer, 2011: On the predictability of the extreme summer 2003 over Europe. Geophys. Res. Lett., 38, L05704,
Wolf, A., J. B. Swift, H. L. Swinney, and J. A. Vastano, 1985: Determining Lyapunov exponents from a time series. Physica D: Nonlinear Phenomena, 16, 285−317,
Yoden, S., and M. Nomura, 1993: Finite-time Lyapunov stability analysis and its application to atmospheric predictability. J. Atmos. Sci., 50, 1531−1543,<1531:FTLSAA>2.0.CO;2.
Ziehmann, C., L. A. Smith, and J. Kurths, 2000: Localized Lyapunov exponents and the prediction of predictability. Physics Letters A, 271, 237−251,