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Global Universality at the Onset of Chaos: Results of a Forced Rayleigh-Bénard Experiment
Abstract
We study an experimental orbit on a two-torus with a golden-mean winding number obtained from a forced Rayleigh-B\'enard system at the onset of chaos. This experimental orbit is compared with the orbit generated by a simple theoretical model, the circle map, at its golden-mean winding number at the onset of chaos. The "spectrum of singularities" of the two orbits are compared. Within error, these are identical. Since the spectrum characterizes the metric properties of the entire orbit, this result confirms theoretical speculations that these orbits, taken as a whole, enjoy a kind of universality.
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Citations
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
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
Self-citationPhysical approach to complex systems
Kwapień, J., & Drożdż, S. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.01.007 · Cited by 517
Metadata
- Authors
- Jensen, M. H., Kadanoff, L. P., Libchaber, A., Procaccia, I., & Stavans, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-12-16
- Volume
- 55
- Issue
- 25
- Pages
- 2798-2801
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2071996906
- Cited by
- 284
- References
- 0
- FWCI
- 40.38
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Global Universality at the Onset of Chaos: Results of a Forced Rayleigh-Bénard Experiment. https://app.cochat.ai/papers/10.1103/physrevlett.55.2798
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- Jensen, M. H., Kadanoff, L. P., Libchaber, A., Procaccia, I., & Stavans, J. (1985). Global Universality at the Onset of Chaos: Results of a Forced Rayleigh-Bénard Experiment. Physical Review Letters. https://doi.org/10.1103/physrevlett.55.2798
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