Topological Analysis of Patterns - Softcover

Gameiro, Marcio

 
9783836459051: Topological Analysis of Patterns
Softcover
ISBN 10: 3836459051 ISBN 13: 9783836459051
Verlag: VDM Verlag Dr. Müller, 2009

Inhaltsangabe

We use computational homology to characterize the geometry of complicated time-dependent patterns. Homology provides very basic topological (geometrical) information about the patterns, such as the number of components (pieces) and the number of holes. For three- dimensional patterns it also provides the number of enclosed cavities. We apply these techniques to patterns generated by experiments on spiral defect chaos, as well as to numerically simulated patterns in the Cahn-Hilliard theory of phase separation and on spiral wave patterns in excitable media. Some of the results obtained with these techniques include distinguishing patterns at different parameter values, detecting complicated dynamics through the computation of positive Lyapunov exponents and entropies, comparing experimental and numerically simulated data, and quantifying boundary effects on finite size domains.

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Verlag
VDM Verlag Dr. Müller
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3836459051
ISBN 13 
9783836459051
Einband
Taschenbuch
Anzahl der Seiten
104
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Zeitfracht Medien GmbH
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