The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Recycling of strange sets: I. Cycle expansions
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The strange sets which arise in deterministic low-dimensional dynamical systems are analysed in terms of (unstable) cycles and their eigenvalues. The general formalism of cycle expansions is introduced and its convergence discussed.
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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
The Fractal Geometry of Nature
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(1981) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(81)90068-9 · Cited by 10,699
Ergodic theory of chaos and strange attractors
Eckmann, J. P., & Ruelle, D. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.617 · Cited by 4,941
Barnsley, M. F. (1988) · Cited by 3,578
Fractal measures and their singularities: The characterization of strange sets
Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., & Shraiman, B. I. (1986) · Physical Review A · doi:10.1103/physreva.33.1141 · Cited by 3,302
Differentiable dynamical systems
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A two-dimensional mapping with a strange attractor
Hénon, M. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608556 · Cited by 2,987
Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., & Shraiman, B. I. (1986) · Physical Review A · doi:10.1103/physreva.34.1601 · Cited by 2,491
Differentiable Dynamical Systems
Smale, S. (1980) · The Mathematics of Time · doi:10.1007/978-1-4613-8101-3_1 · Cited by 2,478
Cited by
Finding Periodic Orbits in Projected Quantum Many-Body Dynamics
Petrova, E., Ljubotina, M., Yalnız, G., & Serbyn, M. (2025) · PRX Quantum · doi:10.1103/tldp-kvkd · Cited by 2
Metadata
- Authors
- Artuso, R., Aurell, E., & Cvitanovic, P.
- Venue
- Nonlinearity
- Publisher
- IOP Publishing
- Published
- 1990-05-01
- Volume
- 3
- Issue
- 2
- Pages
- 325-359
- ISSN
- 0951-7715 (ISSN-L)
- 1361-6544
- OpenAlex
- W1979355773
- Cited by
- 411
- References
- 24
- FWCI
- 45.61
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Artuso, R., Aurell, E., & Cvitanovic, P. (1990). Recycling of strange sets: I. Cycle expansions. Nonlinearity. https://doi.org/10.1088/0951-7715/3/2/005
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
