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Conference Papers Year : 2021

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

Ulrich Reitebuch
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Eric Zimmermann
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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.
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Dates and versions

hal-03270664 , version 1 (25-06-2021)

Identifiers

  • HAL Id : hal-03270664 , version 1

Cite

Martin Skrodzki, Ulrich Reitebuch, Eric Zimmermann. Investigations of structures in the parameter space of three-dimensional Turing-like patterns. AUTOMATA2021, Jul 2021, Marseille, France. ⟨hal-03270664⟩
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