Formation of square lattices in coupled pattern-forming systems
| Autor: | Christopher Strickland, Daniel A. Pearson, Patrick D. Shipman |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Biomath, Vol 5, Iss 2 (2017) |
| Druh dokumentu: | article |
| ISSN: | 1314-684X 1314-7218 |
| DOI: | 10.11145/j.biomath.2016.12.181 |
| Popis: | A wide variety of natural and labo-ratory systems can produce patterns of ripples, hexagons, or squares. The formation of stable square patterns from partial differential equation models requires specific cubic nonlinearities involving higher-order derivatives. Motivated by plant phyllotaxis, we demonstrate that the coupling of more than one pattern-forming system can produce square patterns without these special nonlinearities. |
| Databáze: | Directory of Open Access Journals |
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