Stable localized squares in pattern-forming nonequilibrium systems

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1997 EDP Sciences
, , Citation H. Sakaguchi and H. R. Brand 1997 EPL 38 341 DOI 10.1209/epl/i1997-00249-7

0295-5075/38/5/341

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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10.1209/epl/i1997-00249-7