| [1] |
Abarbanel, H. D.I.; Brown, R.; Kadtke, J. B., Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra, Phys. Rev. A, 41, 1782-1807 (1990) |
| [2] |
Anosov, D. V., Geodesic flows and closed Riemannian manifolds with negative curvature, (Proc. Steklov Inst. Math., 90 (1967)) · Zbl 0163.43604 |
| [3] |
Bowen, R., ω-limit sets for axiom A diffeomorphisms, J. Diff. Eqs., 18, 333-339 (1975) · Zbl 0315.58019 |
| [4] |
Casdagli, M., Nonlinear prediction of chaotic time series, Physica D, 35, 335-356 (1989) · Zbl 0671.62099 |
| [5] |
Cremers, J.; Hübler, A., Construction of differential equations from experimental data, Z. Naturforsch., 42a, 797-802 (1987) |
| [6] |
Crutchfield, J. P.; Farmer, J. D.; Huberman, B. A., Fluctuations and simple chaotic dynamics, Phys. Rep., 92, 45-82 (1982) |
| [7] |
Crutchfield, J. P.; McNamara, B. S., Equations of motion from a data series, Complex Systems, 1, 417-452 (1987) · Zbl 0675.58026 |
| [8] |
Farmer, J. D.; Sidorowich, J. J., Predicting chaotic time series, Phys. Rev. Lett., 59, 845-848 (1987) |
| [9] |
Farmer, J. D., Sensitive dependence on parameters, Phys. Rev. Lett., 55, 351-354 (1985) |
| [10] |
Farmer, J. D.; Sidorowich, J. J., Exploiting chaos to predict the future and reduce noise, (Lee, Y. C., Evolution, Learning and Cognition (1988), World Scientific: World Scientific Singapore) |
| [11] |
Hammel, S. M., Noise Reduction for Chaotic Systems (1989), Naval Surface Warfare Center: Naval Surface Warfare Center Silver Spring, MD |
| [12] |
Hammel, S. M.; Yorke, J. A.; Grebogi, C., Do numerical orbits of chaotic processes represent true orbits?, J. Complexity, 3, 136-145 (1987) · Zbl 0639.65037 |
| [13] |
Kostelich, E. J.; Yorke, J. A., Noise reduction in dynamical systems, Phys. Rev. A, 38, 1649-1652 (1988) |
| [14] |
Lapedes, A. S.; Farber, R., Nonlinear signal processing using neural networks: Prediction and system modeling, (Technical Report LA-UR-87-2662 (1987), Los Alamos National Laboratory) |
| [15] |
Lorenz, E. N., The problem of deducing the climate from the governing equation, Tellus, 16, 1-11 (1964) |
| [16] |
Packard, N. H.; Crutchfield, J. P.; Farmer, J. D.; Shaw, R. S., Geometry from a time series, Phys. Rev. Lett., 45, 712-716 (1980) |
| [17] |
Radiotekhnika i Elektronika, 5, 911-914 (1986), originally in Russian: |
| [18] |
Takens, F., Detecting strange attractors in fluid turbulence, (Rand, D.; Young, L.-S., Dynamical Systems and Turbulence (1981), Springer: Springer Berlin) · Zbl 0513.58032 |
