Topological Analysis of Patterns
We use computational homology to characterize thegeometry of complicated time-dependent patterns. Homologyprovides very basic topological (geometrical) information about thepatterns, such as the number of components (pieces) and the number ofholes. For three-dimensional... Viac o knihe
Produkt je dočasne nedostupný
44.35 €
bežná cena: 50.40 €
O knihe
We use computational homology to characterize thegeometry of complicated time-dependent patterns. Homologyprovides very basic topological (geometrical) information about thepatterns, such as the number of components (pieces) and the number ofholes. For three-dimensional patterns it also provides the number ofenclosed cavities. We apply these techniques to patterns generated byexperiments on spiral defect chaos, as well as to numericallysimulated patterns in the Cahn-Hilliard theory of phase separation and onspiral wave patterns in excitable media. Some of the results obtained withthese techniques include distinguishing patterns at differentparameter values, detecting complicated dynamics through the computation ofpositive Lyapunov exponents and entropies, comparing experimental andnumerically simulated data, and quantifying boundary effects onfinite size domains.
- Vydavateľstvo: VDM Verlag
- Formát: Paperback
- Jazyk:
- ISBN: 9783836459051
Anglický jazyk 
