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

M. Skrodzki, Ulrich Reitebuch, Eric Zimmermann

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientific

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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.
Original languageEnglish
Title of host publicationAUTOMATA 2021
Number of pages11
Publication statusPublished - 2021
EventAUTOMATA 2021: 27th International Workshop on Cellular Automata and Discrete Complex Systems - Virtual event
Duration: 12 Jul 202117 Jul 2021
Conference number: 27

Conference

ConferenceAUTOMATA 2021: 27th International Workshop on Cellular Automata and Discrete Complex Systems
Abbreviated titleAUTOMATA 2021
Period12/07/2117/07/21

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