2009/04/25 by Kapilanjan Krishan, Marcio Gameiro, Krishan, Kapilanjan +5
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Dynamics and Fractals #Pattern Formation and Solitons (nlin.PS) #Theoretical and Computational Physics #nlin.PS
paper · pdf · doi:10.48550/arxiv.0904.3969
5 pages, 5 figures
arxiv created 2009/04/25 · openalex publication_date 2009/04/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.