Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2009-04-25
Nonlinear Sciences
Pattern Formation and Solitons
5 pages, 5 figures
Scientific paper
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.
Gameiro Marcio
Krishan Kapilanjan
Mischaikow Konstantin
Schatz Michael F.
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