174 citations · 407 across the 13 of their papers we have counts for
3 papers · 1 filter
Homological Characterizations of Spiral Defect Chaos in Rayleigh-Benard Convection
Kapilanjan Krishan, Marcio Gameiro, Konstantin Mischaikow +1
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…
Network structure of chaotic patterns
Kapilanjan Krishan
We reduce complex stripped patterns to a basic topological network of edges and vertices to define defects and measure their influence on the pattern. We present statistics on the…
Homology and symmetry breaking in Rayleigh-Benard convection: Experiments and simulations
Kapilanjan Krishan, Huseyin Kurtuldu, Michael F. Schatz +2
Algebraic topology (homology) is used to analyze the weakly turbulent state of spiral defect chaos in both laboratory experiments and numerical simulations of Rayleigh-Benard conve…