Standing wave localized squares in pattern-forming nonequilibrium systems

Hidetsugu Sakaguchi; Helmut R. Brand

doi:10.1051/jp2:1997188

Standing wave localized squares in pattern-forming nonequilibrium systems

Hidetsugu Sakaguchi, Helmut R. Brand

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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 experimental observations of standing wave localized squares in granular materials.

Original language	English
Pages (from-to)	1325-1330
Number of pages	6
Journal	Journal de Physique I
Volume	7
Issue number	10
DOIs	https://doi.org/10.1051/jp2:1997188
Publication status	Published - 1997

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Engineering(all)

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10.1051/jp2:1997188

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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 experimental observations of standing wave localized squares in granular materials.",

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AB - 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 experimental observations of standing wave localized squares in granular materials.

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Standing wave localized squares in pattern-forming nonequilibrium systems

Abstract

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