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Homological Characterizations of Spiral Defect Chaos in Rayleigh-Benard Convection
- Publication Year :
- 2009
-
Abstract
- We use a quantitative topological characterization of complex dynamics to measure geometric structures. This approach is used to analyze the weakly turbulent state of spiral defect chaos in experiments on Rayleigh-Benard convection. Different attractors of spiral defect chaos are distinguished by their homology. The technique reveals pattern asymmetries that are not revealed using statistical measures. In addition we observe global stochastic ergodicity for system parameter values where locally chaotic dynamics has been observed previously.<br />Comment: 5 pages, 5 figures
- Subjects :
- Nonlinear Sciences - Pattern Formation and Solitons
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0904.3969
- Document Type :
- Working Paper