Skip to main content
Have a personal or library account? Click to login
Discriminating randomness from chaos with application to a weather time series Cover

Discriminating randomness from chaos with application to a weather time series

By: ,  ,   and    
Open Access
|Jan 1994

References

  1. Akaike , H . 1974 . A New Look at the Statistical Model Identification . IEEE Trans. Autom. Control AC19 , 716 723 .
  2. Amato , U. , Cuomo , V. , Fontana , F. and Serio , C . 1989 . Statistical predictability and parametric models of daily ambient temperature and solar irradiance: an analysis in the Italian climate . J. AppL Meteor . 28 , 711 721 .
  3. Box , G. E. P. and Jenkins , G. M . 1976 . Time series analysis . Holden-Day , S. Francisco , 525 pp .
  4. Casdagli , M . 1989 . Nonlinear prediction of chaotic time series . Physica D35 , 335 356 .
  5. Eckmann , J. P. and Ruelle , D . 1985 . Ergodic theory of chaos and strange attractors . Rev. Mod. Phys . 57 , 617 656 .
  6. Farmer , J. D. and Sidorowich , J. J . 1987 . Predicting chaotic time series . Rev. Phys. Lett . 59 , 845 848 .
  7. Fraedrich , K . 1986 . Estimating the dimensions of weather and climate attractors. J. Atmos. Sc i . 43 , 419 432 .
  8. Hasselmann , K . 1976 . Stochastic climate models, Part I . Theory. Talus A 28 , 473 485 .
  9. Hasselmann , K. and Barnett , T. P . 1981 . Techniques of linear prediction for system with periodic statistics. J. Atmos. Sc i 38 , 2275 2283 .
  10. Henon , M . 1976 . A two-dimensional mapping with a strange attractor . Commun. Math. Phys . 50 , 69 79 .
  11. Katz , R. W . 1982 . Statistical evaluation of climate experiments with general circulation models: A parametric time series modelling approach. .1 . Atmos. Sc i . 39 , 1446 1455 .
  12. Kay , S. M. and Marple , S. L.Jr. 1981 . Spectrum analysis. A modern perspective . Proc. IEEE 69 , 1380 1419 .
  13. Leith , C. E . 1973 . The standard error of time-average estimates of climatic means . J. App!. Meteor . 12 , 1066 1069 .
  14. Leith , C. E . 1975 . The design of a statistical-dynamical climate model and statistical constraints on the predictability of climate . The physical basis of climate and climate modeling. GARP Pub. Ser. No. 16 , WMO-ICSU , 137 141 .
  15. Leith , C. E . 1978 . Predictability of climate . Nature 276 , 352 355 .
  16. Lorenz , E. N . 1963 . Deterministic non-periodic flow. J. Atmos. Sc i . 20 , 130 142 .
  17. Lorenz , E. N . 1969 . Atmospheric predictability as revealed by naturally occuring analogues. J. Atmos. Sc i . 26 , 636 646 .
  18. Madden , R. A . 1976 . Estimates of the natural variability of time-averaged sea-level pressure. Mon. Wea. Re v . 104 , 942 952 .
  19. Mackey , M. C. , Glass , L . 1977 . Oscillation and chaos in physiological control systems . Science 197 , 287 298 .
  20. Malone , T. ( ed. ) 1951 . Compendium of meteorology . Amer. Meteor. Soc ., Boston .
  21. Peterson , K . 1983 . Ergodic theory . Cambridge University Press , Cambridge , 563 pp .
  22. Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetteeing , W. T . 1986 . Numerical recipes . Cambridge University Press , Cambridge , 818 pp .
  23. Privalsky , V. E . 1983 . Statistical predictability and spectra of air temperature over the northern Hemisphere . Tellus A35 , 51 59 .
  24. Ruelle , D . 1990 . The Claude Bernard lecture 1989. Deterministic chaos: the science and the fiction. Proc. Roy . Soc. London A427 , 241 248 .
  25. Serio , C . 1992 . Discriminating low-dimensional chaos from randomness: A parametric time series modelling approach . Ii Nuovo Cimento 107B , 681 702 .
  26. Trenberth , K. E . 1984a . Some effects of finite sample size and persistence on meteorological statistics, Part I . Autocorrelations. Mon. Wea. Rew . 112 , 2359 2368 .
  27. Trenberth , K. E . 1984 . Some effects of finite sample size and persistence on meteorological statistics, Part II. Potential Predictability. Mon. Wea. Re v . 112 , 2369 2379 .
Language: English
Page range: 299 - 313
Submitted on: Mar 25, 1993
Accepted on: Jul 27, 1993
Published on: Jan 1, 1994
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1994 V. Cuomo, C. Serio, F. Crisciani, A. Ferraro, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.