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Collision patterns on mollusc shells
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Personen und Körperschaften: | , , |
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Titel: |
Collision patterns on mollusc shells |
In: | Discrete Dynamics in Nature and Society, 1, 1997, 1, S. 57-76 |
veröffentlicht: |
Hindawi Limited
|
Umfang: | 57-76 |
ISSN: |
1026-0226 1607-887X |
DOI: | 10.1155/s1026022697000071 |
Zusammenfassung: | <jats:p>On mollusc shells one can find famous patterns. Some of them show a great resemblance to the soliton patterns in one-dimensional systems. Other look like Sierpinsky triangles or exhibit very irregular patterns. Meinhardt has shown that those patterns can be well described by reaction–diffusion systems [1]. However, such a description neglects the discrete character of the cell system at the growth front of the mollusc shell.</jats:p><jats:p>We have therefore developed a one-dimensional cellular vector automaton model which takes into account the cellular behaviour of the system [2]. The state of the mathematical cell is defined by a vector with two components. We looked for the most simple transformation rules in order to develop quite different types of waves: classical waves, chemical waves and different types of solitons. Our attention was focussed on the properties of the system created through the collision of two waves.</jats:p> |
Format: | E-Article |
Quelle: | Hindawi Limited (CrossRef) |
Sprache: | Englisch |