Hr. Brand et Rj. Deissler, PATTERN-FORMATION NEAR AN OSCILLATORY INSTABILITY FOR SYSTEMS WITHOUTUP-DOWN SYMMETRY, Physics letters. A, 231(3-4), 1997, pp. 179-184
We present the results of our numerical investigations of the order pa
rameter equation associated with an oscillatory instability with a sma
ll onset frequency of systems lacking ''up-down'' symmetry, Qualitativ
ely different patterns arise depending on whether periodic or more rea
listic boundary conditions are used. Among the patterns found are blin
king hexagons, traveling rectangular patterns, and states that are dis
ordered in space and time, which dominate for realistic boundary condi
tions, Experimentally accessible systems for which our predictions cou
ld be checked might include non-Boussinesq convection in binary fluid
mixtures. (C) 1997 Elsevier Science B.V.