Non-Fiction Books:

Topological Analysis of Patterns

Format

Paperback

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Topological Analysis of Patterns by Marcio Gameiro
$139.99
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Description

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.
Release date NZ
March 6th, 2009
Country of Publication
Germany
Illustrations
black & white illustrations
Imprint
VDM Verlag
Pages
104
Dimensions
152x229x6
ISBN-13
9783836459051
Product ID
2964685

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