Stable localized squares in pattern-forming nonequilibrium systems
Theoretische Physik III,
Universität Bayreuth - D-95440 Bayreuth, Germany
2 Department of Applied Physics, Faculty of Engineering, Kyushu University, Ropponmatsu, Fukuoka, 810, Japan
Accepted: 8 April 1997
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.
PACS: 47.20.Ky – Nonlinearity (including bifurcation theory) / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 03.40.Gc – Fluid dynamics: general mathematical aspects
© EDP Sciences, 1997