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.
Institute for Mechanical Engineering Problems, Russian Academy of Sciences, Bolshoy prospekt V.O. 61, Saint Petersburg 199178, Russia.
Serguei
S
Vakulenko
Bogdan
B
Kazmierczak
Stéphane
S
Génieys