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N. B. Tufillaro, Braid analysis of (low-dimensional) chaos, preprint.
T. C. A. Molteno and N. B. Tufillaro, Torus doubling and chaotic string vibrations: experimental results, Journal of Sound and Vibration 137, 327-330 (1990).
O. O'Reilly and P. J. Holmes, Non-linear, non-planar and non-periodic vibrations of a string, Journal of Sound and Vibration 153, 413-435 (1992).
N. B. Tufillaro, P. Wyckoff, R. Brown, T. Schreiber, and T. Molteno, Topological time series analysis of a string experiment and its synchronized model, Physical Review E 50 (6), 4509-4522 (1994).
N. B. Tufillaro, T. A. Abbott, and J. P. Reilly, An Experimental Approach to Nonlinear Dynamics and Chaos (Addison-Wesley, 1992).
J. Milnor and W. Thurston, On iterated maps of the interval, Lect. Notes in Math. 1342, in Dynamical Systems Proceedings, University of Maryland 1986-87, J. C. Alexander, ed. (Springer-Verlag, Berlin, 1988).
J. Guckenheimer, Sensitive dependence to initial conditions for one-dimensional maps, Comm. Math. Phys. 70, 133-160.
R. L. Devaney, An Introduction to Chaotic Dynamical Systems (Benjamin-Cummings, 1986).
G. B. Mindlin, H. G. Solari, M. A. Natiello, and X.-J. Hou, Topological analysis of chaotic time series data from the Belousov-Zhabotinskii reaction, Journal of Nonlinear Science 1, 147-173 (1991).
C. S. Daw, C. E. A. Finney, M. B. Kennel, and F. T. Connolly, Cycle-by-cycle combustion variations in spark-ignited engines, Proceedings of the Fourth Experimental Chaos Conference, Boca Raton, Florida USA, 1997 August 6-8.
C. E. A. Finney, J. B. Green, Jr. and C. S. Daw, Symbolic time-series analysis of engine combustion measurements, SAE International Congress and Exposition (Detroit, Michigan USA, 1998) (preprint).