Center for Nonlinear Dynamics and the
Department of Physics,
Department of Nuclear Physics, Weizmann Institute of Science, 76 100 Rehovot,
AT&T Bell Laboratories,
Received 27 November 1989
We present a picture of the weakly nonlinear time-dependent (blinking) traveling-wave state in the convection of binary mixtures as a propagating, spatially confined solution of coupled Landau-Ginzburg equations. Quantitative agreement with the measured slow oscillation frequency is found. In addition, a number of experimental observations regarding the blinking and confined states can be understood in this picture.