Robust estimation of tangent maps and Liapunov spectra
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[1] H. Kantz. A robust method to estimate the maximal Lyapunov exponent of a time series , 1994 .
[2] M. Rosenstein,et al. A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .
[3] Markus Eiswirth,et al. Computation of Lyapunov spectra: effect of interactive noise and application to a chemical oscillator , 1993 .
[4] T. Sauer. A noise reduction method for signals from nonlinear systems , 1992 .
[5] Hsu,et al. Local-geometric-projection method for noise reduction in chaotic maps and flows. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[6] Martin Casdagli,et al. Nonlinear Modeling And Forecasting , 1992 .
[7] Ulrich Parlitz,et al. Identification of True and Spurious Lyapunov Exponents from Time Series , 1992 .
[8] Ruedi Stoop,et al. Calculation of Lyapunov exponents avoiding spurious elements , 1991 .
[9] D. Broomhead,et al. Local adaptive Galerkin bases for large-dimensional dynamical systems , 1991 .
[10] David S. Broomhead,et al. The origins of chaos in a modified Van der Pol oscillator , 1991 .
[11] Brown,et al. Lyapunov exponents from observed time series. , 1990, Physical review letters.
[12] F. Girosi,et al. Networks for approximation and learning , 1990, Proc. IEEE.
[13] Farrell,et al. Characterizing attractors using local intrinsic dimensions calculated by singular-value decomposition and information-theoretic criteria. , 1990, Physical review. A, Atomic, molecular, and optical physics.
[14] Martin Casdagli,et al. Nonlinear prediction of chaotic time series , 1989 .
[15] Farmer,et al. Predicting chaotic time series. , 1987, Physical review letters.
[16] G. P. King,et al. Topological dimension and local coordinates from time series data , 1987 .
[17] George R. Sell,et al. Ergodic properties of linear dynamical systems , 1987 .
[18] Eckmann,et al. Liapunov exponents from time series. , 1986, Physical review. A, General physics.
[19] G. P. King,et al. Extracting qualitative dynamics from experimental data , 1986 .
[20] Sarben Sarkar,et al. Nonlinear phenomena and chaos , 1986 .
[21] F. Ledrappier,et al. The metric entropy of diffeomorphisms Part II: Relations between entropy, exponents and dimension , 1985 .
[22] Sawada,et al. Measurement of the Lyapunov spectrum from a chaotic time series. , 1985, Physical review letters.
[23] D. Ruelle,et al. Ergodic theory of chaos and strange attractors , 1985 .
[24] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[25] J. Yorke,et al. The liapunov dimension of strange attractors , 1983 .
[26] G. Golub. Matrix computations , 1983 .
[27] F. Takens. Detecting strange attractors in turbulence , 1981 .
[28] James P. Crutchfield,et al. Geometry from a Time Series , 1980 .
[29] I. Shimada,et al. A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems , 1979 .
[30] G. Stewart. Introduction to matrix computations , 1973 .
[31] V. I. Oseledec. A multiplicative ergodic theorem: Lyapunov characteristic num-bers for dynamical systems , 1968 .
[32] E. Lorenz. Deterministic nonperiodic flow , 1963 .