Following is a list of papers relevant to the use of Nonlinear Dynamical Systems and Time Series Analysis:
- Tutorial articles:
- Abarbanel, H.D.I.; Frison, T.W.; Tsimring, L.S., "Obtaining order in a world of chaos," IEEE Signal Processing Magazine, Vol. 16, Issue 3 , May 1998.
- Eckmann, J.P. and Ruelle, D., "Ergodic Theory of Chaos and Strange Attractors," Reviews of Modern Physics, vol. 57, pp. 617 656, July 1985.
- Nonlinear Dynamical Invariants for Speech Applications:
- Mike Banbrook,
"Nonlinear analysis of speech from a synthesis perspective"
PhD Thesis, The University of Edinburgh
1996
[pdf].
- Time Series Prediction:
- J. Farmer and J. Sidorowich,
"Predicting chaotic time series,"
Physical Review Letters,
vol. 59, no. 8, pp. 845-848, August 1987
[pdf
].
- H. Abarbanel,
"Prediction in chaotic nonlinear systems:Methods
for time series with broadband Fourier spectra,"
Physical Review A, The American Physical
Society,
vol. 41, no. 4, pp. 1782-1807, February 1990
[pdf
].
- M. Casdagli, "Nonlinear Prediction of Chaotic Time Series,"
Physica D. Nonlinear Phenomena,
vol. 35, no. 3, pp. 335-356, May 1989.