Dynamic scaling function at the quasiperiodic transition to chaos
β Scribed by Ronnie Mainieri; Robert E. Ecke
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 1007 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0167-2789
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β¦ Synopsis
We obtain a five-step approximation to the quasiperiodic dynamic scaling function for experimental Rayleigh-B6nard convection data. When errors are taken into account in the experiment, the f(a) spectrum of scalings is equivalent to just two of these five scales. To overcome this limitation, we develop a robust technique for extracting the scaling function from experimental data by reconstructing the dynamics of the experiment.
π SIMILAR VOLUMES
We analyze the fluctuating dynamics at the golden-mean transition to chaos in the critical circle map and find that trajectories within the critical attractor consist of infinite sets of power laws mixed together. We elucidate this structure assisted by known renormalization group (RG) results. Next