Investigations of structures in the parameter space of three-dimensional Turing-like patterns

Conference paper (2021)

Authors

M. Skrodzki Computer Graphics and Visualisation
Ulrich Reitebuch Freie Universität Berlin
Eric Zimmermann Freie Universität Berlin
Research Group
Computer Graphics and Visualisation
Copyright: © 2021 M. Skrodzki, Ulrich Reitebuch, Eric Zimmermann
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Published Date

2021

Language

English

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Research Group

Computer Graphics and Visualisation

Abstract

In this paper, we are interested in classifying the different arising (topological) structures of three-dimensional Turing-like patterns. By providing examples for the different structures, we confirm a conjecture regarding these structures within the setup of three-dimensional Turing-like pattern. Furthermore, we investigate how these structures are distributed in the parameter space of the discrete model. We found twofold versions of so-called "zero-" and "one-dimensional" structures as well as "two-dimensional" structures and use our experimental findings to formulate several conjectures for three-dimensional Turing-like patterns and higher-dimensional cases.

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