The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Static parametric fluctuations give nonstatistical behavior in uncoupled chaotic systems
Abstract
We show that an ensemble of logistic maps, with parameters distributed in some range inside a chaotic region, cannot be statistical. This is so because any parameter range for this map includes periodic windows. The effects of this periodicity in the averages of the system can be estimated, and are also apparent in the power spectra of average values. As a counterexample, we show that the behavior for tent maps, where chaotic regions do not include periodic windows, is statistical.
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Cites
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Cited by
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
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Metadata
- Authors
- Pérez, G., & Cerdeira, H. A.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1994-01-01
- Volume
- 49
- Issue
- 1
- Pages
- R15-R18
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2049139902
- Cited by
- 332
- References
- 6
- FWCI
- 61.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pérez, G., & Cerdeira, H. A. (1994). Static parametric fluctuations give nonstatistical behavior in uncoupled chaotic systems. Physical Review E. https://doi.org/10.1103/physreve.49.r15
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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