| Issue |
J. Phys. II France
Volume 7, Number 10, October 1997
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|---|---|---|
| Page(s) | 1325 - 1330 | |
| DOI | https://doi.org/10.1051/jp2:1997188 | |
DOI: 10.1051/jp2:1997188
J. Phys. II France 7 (1997) 1325-1330
1 Department of Applied Physics, Faculty of Engineering, Kyushu University, Ropponmatsu, Fukuoka, 810, Japan
2 Theoretische Physik III, Universität Bayreuth, 95440 Bayreuth, Germany
© Les Editions de Physique 1997
J. Phys. II France 7 (1997) 1325-1330
Standing Wave Localized Squares in Pattern-Forming Nonequilibrium Systems
Hidetsugu Sakaguchi1 and Helmut R. Brand21 Department of Applied Physics, Faculty of Engineering, Kyushu University, Ropponmatsu, Fukuoka, 810, Japan
2 Theoretische Physik III, Universität Bayreuth, 95440 Bayreuth, Germany
(Received 14 May 1997, revised 12 July 1997, accepted 24 July 1997)
Abstract
We show that stable standing wave localized solutions of square symmetry are possible for a quintic Swift-Hohenberg type equation
with complex coefficients. We point out that these localized solutions, which are surrounded by a pattern-free state exist
for a range of values for the external stress parameter subcritically. We discuss similarities to recent exp;erimental observations
of standing wave localized squares in granular materials.
© Les Editions de Physique 1997