In order to examine the role of the energy input in the formation of a
n ordered structure in a semi-open system, pie have developed a nonlin
ear simulation model in which the energy input time and the dynamic re
sponse time of the system are changeable. For this purpose, a viscous
membrane (boundary layer) is placed between a steady convection source
and a nonlinear feedback system in which a dissipation-free magnetohy
drodynamic plasma and a resistive weakly-ionized plasma are coupled. I
t is found that the thin viscous membrane acts to be a high-pass filte
r that can play a role of a fixed boundary for the dc component but a
free boundary for the ac component. Because of this character of the m
embrane, when the ratio of the ac energy input time to the dynamic res
ponse lime of the system becomes relatively large, the membrane acts t
o release the fluctuation (ac) energy from the system. Consequently, t
he positive feedback effect for the fluctuation is weakened and the st
ructure formation is prevented as the ratio exceeds a certain critical
value. It is also found that the viscous membrane plays another impor
tant more in self-organization: namely, that as the structure formatio
n is highly progressed, the dc energy input rate is autonomously adjus
ted so as to keep the developed structure in a steady form.