Equations of Motion from a Data Series
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[1] J. Rogers. Chaos , 1876, Molecular Vibrations.
[2] H. Poincaré. Science and Hypothesis , 1906 .
[3] J. Proudfoot,et al. Noise , 1931, The Indian medical gazette.
[4] H. Whitney. The Self-Intersections of a Smooth n-Manifold in 2n-Space , 1944 .
[5] Claude E. Shannon,et al. The Mathematical Theory of Communication , 1950 .
[6] John G. Kemeny,et al. The Use of Simplicity in Induction , 1953 .
[7] N. Wiener. Nonlinear Prediction and Dynamics , 1956 .
[8] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[9] E. Lorenz. The problem of deducing the climate from the governing equations , 1964 .
[10] M. Hénon,et al. The applicability of the third integral of motion: Some numerical experiments , 1964 .
[11] J. Pain,et al. Fluid Dynamics , 1967, Nature.
[12] Gwilym M. Jenkins,et al. Time series analysis, forecasting and control , 1972 .
[13] Keinosuke Fukunaga,et al. An Algorithm for Finding Intrinsic Dimensionality of Data , 1971, IEEE Transactions on Computers.
[14] James Hardy Wilkinson,et al. Linear algebra , 1971, Handbook for automatic computation.
[15] F. Takens,et al. On the nature of turbulence , 1971 .
[16] H. Akaike. A new look at the statistical model identification , 1974 .
[17] D. R. J. Chillingworth,et al. Differential topology with a view to applications , 1976 .
[18] Y. Oono. A Heuristic Approach to the Kolmogorov Entropy as a Disorder Parameter , 1978 .
[19] O. Rössler. An equation for hyperchaos , 1979 .
[20] I. Shimada,et al. A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems , 1979 .
[21] E. T. Jaynes,et al. Where do we Stand on Maximum Entropy , 1979 .
[22] N. MacDonald. Noisy chaos , 1980, Nature.
[23] N. Packard,et al. POWER SPECTRA AND MIXING PROPERTIES OF STRANGE ATTRACTORS , 1980 .
[24] James P. Crutchfield,et al. Geometry from a Time Series , 1980 .
[25] M. Priestley. STATE‐DEPENDENT MODELS: A GENERAL APPROACH TO NON‐LINEAR TIME SERIES ANALYSIS , 1980 .
[26] D. Ruelle. Small random perturbations of dynamical systems and the definition of attractors , 1981 .
[27] F. Takens. Detecting strange attractors in turbulence , 1981 .
[28] Robert Shaw. Strange Attractors, Chaotic Behavior, and Information Flow , 1981 .
[29] J. D. Farmer,et al. ON DETERMINING THE DIMENSION OF CHAOTIC FLOWS , 1981 .
[30] N. Packard,et al. Symbolic dynamics of one-dimensional maps: Entropies, finite precision, and noise , 1982 .
[31] B. Huberman,et al. Fluctuations and simple chaotic dynamics , 1982 .
[32] J. Yorke,et al. Dimension of chaotic attractors , 1982 .
[33] N. Packard,et al. Symbolic dynamics of noisy chaos , 1983 .
[34] Stephen Wolfram,et al. Universality and complexity in cellular automata , 1983 .
[35] S. C. Pope,et al. The chaotic behavior of the leaky faucet , 1985 .
[36] D. Ruelle,et al. Ergodic theory of chaos and strange attractors , 1985 .
[37] Sawada,et al. Measurement of the Lyapunov spectrum from a chaotic time series. , 1985, Physical review letters.
[38] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[39] Gottfried Mayer-Kress,et al. Dimensions and Entropies in Chaotic Systems , 1986 .
[40] Jonathan D. Cryer,et al. Time Series Analysis , 1986, Encyclopedia of Big Data.
[41] J. Holland. A mathematical framework for studying learning in classifier systems , 1986 .
[42] Eckmann,et al. Liapunov exponents from time series. , 1986, Physical review. A, General physics.
[43] G. P. King,et al. Extracting qualitative dynamics from experimental data , 1986 .
[44] G. Mayer-Kress,et al. Dimensions and entropies in chaotic systems : quantification of complex behavior : proceedings of an international workshop at the Pecos River Ranch, New Mexico, September 11-16, 1985 , 1986 .
[45] Farmer,et al. Predicting chaotic time series. , 1987, Physical review letters.
[46] Masanao Aoki,et al. State Space Modeling of Time Series , 1987 .
[47] James P. Crutchfield,et al. Phenomenology of Spatio-Temporal Chaos , 1987 .
[48] Stephen M. Omohundro,et al. Efficient Algorithms with Neural Network Behavior , 1987, Complex Syst..