Bibliographical references


Broomhead, D.S. and G.P. King. Extracting Qualitative Dynamics from Experimental Data, Physica 20D, (1986), 217-236.

Broomhead, D.S. and G.P. King. Phase Portraits from a Time Series: A Singular System Approach, Nuclear Physics B, 2, (1987), 379-390.

Brown, R., P. Bryan and H. Abarbanel. Computing the Liapunov spectnun of a dynarnical systern from an observed tierne series. Physical Review A, 43, (1991), 2787-2806.

Cawley, R. and Guan-Hsong Hsu. Local Geometric Projection Method for Noise Reduction in Chaotic Maps and Flows, Physical Review A, 46, 6, (1992), 3057-3082.

Eckrnann, J.P. and D. Ruelle. Ergodic Theory of Chaos and Strange Attractors, Reviews of Modern Physics, 57, 3, (1985), 617-656.

Eckmann, J.P., S.O. Kamphorst, D. Ruelle and S. Ciliberto. Liapunov Exponents from Time Series, Physical Review A, 34, 6, (1986), 4971-4979.

Gill, P.E., W. Murray and M.H. Wright. Numerical Linear Algebra and Optimization. Volume 1. Addison-Wesley Publishing Cornpany (1991).

Grassberger, P. An Optimized Box-Assisted Algorithm for Fractal Dimcnsions, Phys. Lett. A, 148, (1990), 63-68.

Kshirsagar, A.M. Multivariate Analysis. Marcel Dekker. NY (1972).

Mattila, P. Geometry of Sets and Measures in Euclidean Spaces. Fractals and Rectifiability. Cambridge University Press (1995).

Mera, M.E. and M. Morán. Convergence of the Eckmann and Ruelle Algorithm for the Estimation of Liapunov Exponents, (forthcoming in Ergodie Theory and Dynamical Systems).

Mera, M.E. and M. Morán. Lp(µ)-Estimation of Tangent Maps, Journal of Mathematical Analysis and Applications 235, (1999), 454-469.

Sano, M. and Y. Sawada. Measurement of the Lyapunov Spectrurn from a Chaotic Time Series. Physycal Review Letters, 55, 10, (1985), 1082-1085.

Sauer, T., York, J.A. and Casdagli, M. Embedology. Journal of Statistical Physics, 65, 3/4, (1992), 579-616.

Takens, F. Detecting Strange Attractors in Turbulence, Dynamical Systems and Turbulence. Lectures Notes in Mathematics, 898, 396, (1981).