Complex spatial patterns on planar continua
- 30 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (9) , 1367-1370
- https://doi.org/10.1103/physrevlett.71.1367
Abstract
The Landau-Ginzburg equations used to describe periodic spatial patterns in two dimensions are extended to a set of spatiotemporal equations. The extension is determined by the requirement that the equations of motion commute with translations, reflections, and rotations in the plane. This simple model produces a variety of complex structures similar to those observed in chemical reactions, ferrofluids, Rayleigh-Bénard convection, and magnetic bubble materials.Keywords
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