The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Communicating with chaos
Abstract
The use of chaos to transmit information is described. Chaotic dynamical systems, such as electrical oscillators with very simple structures, naturally produce complex wave forms. We show that the symbolic dynamics of a chaotic oscillator can be made to follow a desired symbol sequence by using small perturbations, thus allowing us to encode a message in the wave form. We illustrate this using a simple numerical electrical oscillator model.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
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
Synchronization in chaotic systems
Pecora, L. M., & Carroll, T. L. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.821 · Cited by 10,625
The Mathematical Theory of Communication
Shannon, C. E., Weaver, W., & Wiener, N. (1950) · Physics Today · doi:10.1063/1.3067010 · Cited by 9,801
Ott, E., Grebogi, C., & Yorke, J. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1196 · Cited by 5,431
Dynamical Systems and Turbulence
Takens, F. (1981) · Medical Entomology and Zoology · Cited by 2,142
Principles and practice of information theory
Blahut, R. E. (1987) · Medical Entomology and Zoology · Cited by 1,008
Strange Attractors, Chaotic Behavior, and Information Flow
Shaw, R. (1981) · Zeitschrift für Naturforschung A · doi:10.1515/zna-1981-0115 · Cited by 799
Using chaos to direct trajectories to targets
Shinbrot, T., Ott, E., Grebogi, C., & Yorke, J. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.3215 · Cited by 416
Self-citationCharacterization of an experimental strange attractor by periodic orbits
Lathrop, D. P., & Kostelich, E. J. (1989) · Physical Review A · doi:10.1103/physreva.40.4028 · Cited by 331
Noise reduction in dynamical systems
Kostelich, E. J., & Yorke, J. A. (1988) · Physical Review A · doi:10.1103/physreva.38.1649 · Cited by 163
Cited by
SOME BASIC CRYPTOGRAPHIC REQUIREMENTS FOR CHAOS-BASED CRYPTOSYSTEMS
ALVAREZ, G., & LI, S. (2006) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127406015970 · Cited by 2,119
Metadata
- Authors
- Hayes, S., Grebogi, C., & Ott, E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-05-17
- Volume
- 70
- Issue
- 20
- Pages
- 3031-3034
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2073565283
- Cited by
- 573
- References
- 10
- FWCI
- 12.97
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Communicating with chaos. https://app.cochat.ai/papers/10.1103/physrevlett.70.3031
- The paper
- Hayes, S., Grebogi, C., & Ott, E. (1993). Communicating with chaos. Physical Review Letters. https://doi.org/10.1103/physrevlett.70.3031
Data sources
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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
