The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Distinguishing Noise from Chaos
Open accessAbstract
Chaotic systems share with stochastic processes several properties that make them almost undistinguishable. In this communication we introduce a representation space, to be called the complexity-entropy causality plane. Its horizontal and vertical axis are suitable functionals of the pertinent probability distribution, namely, the entropy of the system and an appropriate statistical complexity measure, respectively. These two functionals are evaluated using the Bandt-Pompe recipe to assign a probability distribution function to the time series generated by the system. Several well-known model-generated time series, usually regarded as being of either stochastic or chaotic nature, are analyzed so as to illustrate the approach. The main achievement of this communication is the possibility of clearly distinguishing between them in our representation space, something that is rather difficult otherwise.
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Cites
Permutation Entropy: A Natural Complexity Measure for Time Series
Bandt, C., & Pompe, B. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.174102 · Cited by 4,867
1 A Statistical Measure of ComplexityPreprint
López‐Ruiz, R., Mancini, H., & Calbet, X. (1995) · Cited by 939
A Statistical Measure of Complexity
López-Ruiz, R., Mancini, H. L., & Calbet, X. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)00867-5 · Cited by 920
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Deterministic Chaos: An Introduction
Schuster, H. G., & Just, W. (2005) · Wiley eBooks · doi:10.1002/3527604804 · Cited by 517
Generalized statistical complexity measures: Geometrical and analytical properties
Martin, M. T., Plastino, A., & Rosso, O. A. (2006) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.11.053 · Cited by 392
Self-citationIntensive entropic non-triviality measure
Lamberti, P. W., Martin, M. T., Plastino, A., & Rosso, O. A. (2004) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2003.11.005 · Cited by 342
Self-citationSimulation of Stationary Gaussian Processes in [0,1] d
Wood, A. T. A., & Chan, G. (1994) · Journal of Computational and Graphical Statistics · doi:10.2307/1390903 · Cited by 249
EEG analysis using wavelet-based information tools
Rosso, O. A., Martin, M. T., Figliola, A., Keller, K., & Plastino, A. (2006) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2005.10.009 · Cited by 205
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Cited by
Horizontal visibility graphs: Exact results for random time series
Luque, B., Lacasa, L., Ballesteros, F., & Luque, J. (2009) · Physical Review E · doi:10.1103/physreve.80.046103 · Cited by 789
Forbidden patterns, permutation entropy and stock market inefficiency
Zunino, L., Zanin, M., Tabak, B. M., Pérez, D. G., & Rosso, O. A. (2009) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2009.03.042 · Cited by 249
Orlando, M., Dvorzhak, A., Bruentgens, F., Maglione, M., Rost, B. R., Sigrist, S. J., Breustedt, J., & Schmitz, D. (2021) · PLOS Biology · doi:10.1371/journal.pbio.3001149 · Cited by 30
Metadata
- Authors
- Rosso, O. A., Larrondo, H. A., Martin, M. T., Plastino, A., & Fuentes, M. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-10-12
- Volume
- 99
- Issue
- 15
- Pages
- 154102-154102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2030486754
- Cited by
- 710
- References
- 15
- FWCI
- 10.87
- Type
- journal article
- Language
- en
- Open access
- bronze
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