The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Practical implementation of nonlinear time series methods: The TISEAN package
Open accessAbstract
We describe the implementation of methods of nonlinear time series analysis which are based on the paradigm of deterministic chaos. A variety of algorithms for data representation, prediction, noise reduction, dimension and Lyapunov estimation, and nonlinearity testing are discussed with particular emphasis on issues of implementation and choice of parameters. Computer programs that implement the resulting strategies are publicly available as the TISEAN software package. The use of each algorithm will be illustrated with a typical application. As to the theoretical background, we will essentially give pointers to the literature.
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Cites
Detecting strange attractors in turbulence
Takens, F. (1981) · Lecture Notes in Mathematics · doi:10.1007/bfb0091924 · Cited by 10,459 · cited 3×
“Celebrated embedding theorems by Takens [21] and by Sauer et al.”
MethodInfluentialSauer, T., Yorke, J. A., & Casdagli, M. (1991) · Journal of Statistical Physics · doi:10.1007/bf01053745 · Cited by 2,045
Cited by
Pathological tremors: deterministic chaos or nonlinear stochastic oscillators?
Timmer, J., Häussler, S., Lauk, M., & Lücking, C.-H. (2000) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.166494 · Cited by 130
Phase Synchronization of the El Niño-Southern Oscillation with the Annual Cycle
Stein, K., Timmermann, A., & Schneider, N. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.128501 · Cited by 63
De, S. K., & Aluru, N. R. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.204101 · Cited by 60
Bornas, X., Llabrés, J., Noguera, M., López, A. M., Gelabert, J. M., & Vila, I. (2006) · Biological Psychology · doi:10.1016/j.biopsycho.2006.05.004 · Cited by 50
Detection of vocal disorders based on phase space parameters and Lyapunov spectrum
Ghasemzadeh, H., Tajik Khass, M., Khalil Arjmandi, M., & Pooyan, M. (2015) · Biomedical Signal Processing and Control · doi:10.1016/j.bspc.2015.07.002 · Cited by 40
Metadata
- Authors
- Hegger, R., Kantz, H., & Schreiber, T.
- Venue
- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Publisher
- AIP Publishing
- Published
- 1999-06-01
- Volume
- 9
- Issue
- 2
- Pages
- 413-435
- ISSN
- 1054-1500 (ISSN-L)
- 1089-7682
- OpenAlex
- W1979957032
- Cited by
- 1,491
- References
- 2
- FWCI
- 28.61
- Type
- journal article
- Language
- en
- Open access
- green
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- Hegger, R., Kantz, H., & Schreiber, T. (1999). Practical implementation of nonlinear time series methods: The TISEAN package. Chaos: An Interdisciplinary Journal of Nonlinear Science. https://doi.org/10.1063/1.166424
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