Stable localized squares in pattern-forming nonequilibrium systems

H. Sakaguchi; H. R. Brand

doi:10.1209/epl/i1997-00249-7

Stable localized squares in pattern-forming nonequilibrium systems

H. Sakaguchi, H. R. Brand

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

38 Citations (Scopus)

Abstract

We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. 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 briefly for which experimentally accessible systems such states could possibly be observable.

Original language	English
Pages (from-to)	341-346
Number of pages	6
Journal	Europhysics Letters
Volume	38
Issue number	5
DOIs	https://doi.org/10.1209/epl/i1997-00249-7
Publication status	Published - May 10 1997

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1209/epl/i1997-00249-7

Cite this

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abstract = "We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. 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 briefly for which experimentally accessible systems such states could possibly be observable.",

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AB - We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. 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 briefly for which experimentally accessible systems such states could possibly be observable.

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Stable localized squares in pattern-forming nonequilibrium systems

Abstract

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