Pacific Coastal and Marine Science Center
Bedform Sedimentology Site—ripples, dunes, and cross-bedding
Forecasting Techniques, Underlying Physics, and Applications
ALLEN, J. R. L., 1968, Current Ripples; Their Relation to Patterns of Water and Sediment Motion: Amsterdam, North-Holland Publishing Company, 433 p.
ALLEN, J. R. L., 1978, Polymodal dune assemblages: an interpretation in terms of dune creation-destruction in periodic flows: Sedimentary Geology, v. 20, p. 17-28.
ANDERSON, R. S., 1990, Eolian ripples as examples of self-organization in geomorphological systems: Earth-Science Reviews, v.29, p. 77-96.
BERGER, A., and LOUTRE, M.F., 1991, Insolation values for the climate of the last 10 million years: Quat. Sci. Rev., v. 10, p. 297-317.
CASDAGLI, M., 1992, Chaos and deterministic versus stochastic nonlinear modeling: J. Roy. Stat. Soc. B., v. 54, p. 303-328.
CASDAGLI, M., and A.S. WEIGEND, 1994, Exploring the continuum between deterministic and stochastic modeling: in Weigend, A.S., and Gershenfeld, N.A., eds., Time Series Prediction: Forecasting the Future and Understanding the Past, Reading, Massachusetts, Addison-Wesley, p. 347-366.
CRUTCHFIELD, J.P., and KANEKO, K., 1987, Phenomenology of Spatio-Temporal Chaos, in Hao Bai-lin, ed., Directions in Chaos: Singapore, World Scientific, v. 1, p. 272-353.
CRUTCHFIELD, J.P., and KANEKO, K., 1988, Are attractors relevant to turbulence?: Physical Review Letters, v. 60, p. 2715-2718.
FARMER, J.D., and SIDOROWICH, J.J., 1988, Exploiting chaos to predict the future and reduce noise, in Lee, Y.C., ed., Evolution, Learning, and Cognition: Singapore, World Scientific.
FORREST, S.B., and HAFF, P.K., 1992, Mechanics of wind ripple stratigraphy: Science, v. 255, p. 1240-1243.
GERSHENFELD, N.A., and WEIGEND, A.S., 1994, The future of time series: learning and understanding: in Weigend, A.S., and Gershenfeld, N.A., eds., Time Series Prediction: Forecasting the Future and Understanding the Past, Reading, Massachusetts, Addison-Wesley, p. 1-70.
GOLLUB, J. P., BENSON, S. V., and STEINMAN, J., 1980, A subharmonic route to turbulent convection: in Helleman, R.H.G., ed., Nonlinear Dynamics: Annals of the New York Academy of Sciences, v. 357, p. 22-27.
GOLLUB, J. P., and SWINNEY, H.L., 1975, Onset of turbulence in a rotating fluid: Physical Review Letters, v. 35, p. 927-930.
HUNTER, N., and THEILER, J., 1992, Nonlinear signal processing: the time series analysis of driven nonlinear systems: Los Alamos report LA-UR-92-1268, 67 p.
IMBRIE, J., HAYS, J.D., MARTINSON, D.G., MCINTYRE, A., MIX, A.C., MORLEY, J.J., PISIAS, N.G., PRELL, W.L., and SHACKLETON, N.J., 1984, The orbital theory of Pleistocene climate: support from a revised chrology of the marine d18O record: in Berger, A.L. et al., eds., Milankovitch and Climate: D. Reidel Publishing Company, p. 269-305.
JAFFE, B.E., and RUBIN, D.M., Using nonlinear forecasting to learn the magnitude and phasing of time-varying sediment suspension in the surf zone: Journal of Geophysical Research Oceans.
LANDAU, L.D., 1944, Turbulence: Dokl. Acad. Nauk. SSSR 44, 8, 339-342.
LENDARIS, G.G., and FRASER, A.M., 1994, Visual fitting and extrapolation: in Weigend, A.S., and Gershenfeld, N.A., eds., Time Series Prediction: Forecasting the Future and Understanding the Past, Reading, Massachusetts, Addison-Wesley, 319-322.
LORENZ, E.N., 1963, Deterministic nonperiodic flow: J. Atmos. Sci., v. 20, p. 130-141.
MIDDLETON, G.V., and Southard, J.B., 1984, Mechanics of Sediment Movement: Tulsa, Oklahoma, Society of Economic Paleontologists and Mineralogists Short Course no. 3, 401 p.
PACKARD, N.H., CRUTCHFIELD, J.P., FARMER, J.D., and R.S. SHAW, 1980, Geometry from a time series: Physical Review Letters, v. 45, p. 712-716.
PAOLA, C., and BORGMAN, L., 1991, Reconstructing random topography from preserved stratification: Sedimentology, v. 38, p. 553-565.
RAUDKIVI, A.J., 1963, A study of sediment ripple formation: ASCE J. Hydraulics Division, v. 89, No. 6, p. 15-33.
RUBIN, D.M., 1987, Cross-Bedding, Bedforms, and Paleocurrents: Tulsa, Oklahoma, Society of Economic Paleontologists and Mineralogists, 187 p.
RUBIN, D.M., 1992, Use of forecasting signatures to help distinguish periodicity, randomness, and chaos in ripples and other spatial patterns: Chaos, v. 2, p. 525-535.
RUBIN, D.M., and McDonald, R.R., 1995, Nonperiodic eddy pulsations: Water Resources Research, v. 31, p. 1595-1605.
RUELLE, D., and TAKENS, F., 1974, On the nature of turbulence: Commun. Math. Phys., v. 20, p. 167-192.
SOUTHARD, J.B., and DINGLER, J.R., 1971, Flume study of ripple propagation behind mounds on flat sand beds: Sedimentology, v. 16, p. 251-263.
SUGIHARA, G., 1994, Nonlinear forecasting for the classification of natural time series: Phil. Trans. Royal Society of London, A 348 (1688), p. 477-495.
SUGIHARA, G., and MAY, R.M., 1990, Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series: Nature, v. 344, p. 734-741.
TAKENS, F., 1981, Detecting strange attractors in turbulence, in Rand, D., and Young, L.-S., eds., Dynamical Systems and Turbulence: Berlin, Springer-Verlag, p. 366-381.
THEILER, J., GALDRIKIAN, B., LONGTIN, A., EUBANK, S., and FARMER, J.D., 1992, Using surrogate data to detect nonlinearity in time series, in Casdagli, M. and Eubank, S., eds., Nonlinear Modeling and Forecasting: Reading, Massachusetts, Addison-Wesley, p. 163-188, .
THEILER, J., LINSAY, P.S., and RUBIN, D.M., 1994, Detecting nonlinearity in data with long coherence times: in Weigend, A.S., and Gershenfeld, N.A., eds., Time Series Prediction: Forecasting the Future and Understanding the Past, Reading, Massachusetts, Addison-Wesley, p. 429-455.
WEIGEND, A.S., and GERSHENFELD, N.A., 1994, Time Series Prediction: Forecasting the Future and Understanding the Past: Reading, Massachusetts, Addison-Wesley, 643 p.