Collective Behaviour of Automata and the Problems of Stable Local Control of a Large-scale System

The l o c a l c h o i c e o f i n d i v i d u a l a c t i o n s i n t h e c o l l e c t i v e w i t h a n t a g o n i s t i c i n t e r a c t i o n may i n p r i n c i p l e l e a d t o u n s t a b l e , b u r s t l i k e reg imes i n t h i s c o l l e c t i v e . I n t h e m a t h e m a t i c a l model o f such a c o l l e c t i v e c o n s i d e r e d be low ( w h i c h i s c o n v e n i e n t t o t r e a t i n t e rms o f a c o l l e c t i v e o f r a d i o s t a t i o n s i n t e r f e r i n g w i t h each o t h e r d u r i n g t h e i r