The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Theory of intermittency
Abstract
The aperiodic or chaotic behavior for one-dimensional maps just before a tangent bifurcation occurs appears as intermittency in which long laminarlike regions irregularly separated by bursts occur. Proceeding from the picture proposed by Pomeau and Manneville, numerical experiments and analytic calculations are carried out on various models exhibiting this behavior. The behavior in the presence of external noise is analyzed, and the case of a general power dependence of the curve near the tangent bifurcation is studied. Scaling relations for the average length of the laminar regions and deviations from scaling are determined. In addition, the probability distribution of path lengths, the stationary distribution of the maps, the correlation function and power spectrum of the map in the intermittent region, and the Lyapunov exponent are obtained.
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Citations
Cites
Simple mathematical models with very complicated dynamics
May, R. M. (1976) · Nature · doi:10.1038/261459a0 · Cited by 7,001
Cited by
Chaotic states and routes to chaos in the forced pendulum
D'Humieres, D., Beasley, M. R., Huberman, B. A., & Libchaber, A. (1982) · Physical Review A · doi:10.1103/physreva.26.3483 · Cited by 490
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Metadata
- Authors
- Hirsch, J. E., Huberman, B. A., & Scalapino, D. J.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1982-01-01
- Volume
- 25
- Issue
- 1
- Pages
- 519-532
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2079120407
- Cited by
- 358
- References
- 1
- FWCI
- 33.59
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hirsch, J. E., Huberman, B. A., & Scalapino, D. J. (1982). Theory of intermittency. Physical Review A. https://doi.org/10.1103/physreva.25.519
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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