Pattern formation capacity of spatially extended systems.
We analyze a class of spatially extended systems which are capable of generating many complicated patterns. These systems are given by the Ginzburg-Landau equation coupled with a system of two linear equations and describe nonlinear media with localized defects. We find a connection between these systems and spin-glass systems. We show that the system is capable to produce many patterns and describe patterning algorithms.
Vakulenko
Serguei
S
Institute for Mechanical Engineering Problems, Russian Academy of Sciences, Bolshoy prospekt V.O. 61, Saint Petersburg 199178, Russia.
Kazmierczak
Bogdan
B
Génieys
Stéphane
S