Volume 54, Number 5, June 2001
|Page(s)||612 - 618|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 December 2003|
Formation of rhombic and superlattice patterns in bistable systems
Service de Chimie-Physique and Center for Nonlinear Phenomena and
Complex Systems - C.P. 231, Université
Libre de Bruxelles, 1050 Bruxelles, Belgium
Accepted: 26 March 2001
We investigate the selection of structures generated by diffusive instabilities in asymmetric bistable systems. It is shown that the nonlinear coupling between the zero mode and the different spatial modes emanating from the two homogeneous states can give rise to self-parametric instabilities favoring the occurrence of stable resonant rhombic and superlattice patterns.
PACS: 47.54.+r – Pattern selection; pattern formation / 82.40.Bj – Oscillations, chaos, and bifurcations
© EDP Sciences, 2001
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