We investigate the mechanism of pinching synchronization (complete synchronization for a fraction of system) for cellular automata, consid- ered as prototypes of discrete systems with unpredictable behaviour (finite- distance chaoticity). The pinching synchronization threshold is related to this chaoticity. Some control problems may be reformulated as targeted synchronization. In these problems one aims at discovering a protocol that keeps the distance between two replicas below a certain threshold with the minimum effort, given some constraints. We have chosen to investigate the behaviour of two control schemes based on the local number of non-zero first-order derivatives, taking as reference the “blind” pinching synchroniza- tion protocol. We have shown that, differently from usual chaotic systems, one can exploit self-annihilation of defects to obtain synchronization with a weaker control.
CHAOS, SYNCHRONIZATION AND CONTROL IN CELLULAR AUTOMATA / Franco Bagnoli; Samira El Yacoubi; Raul Rechtman. - STAMPA. - 5:(2012), pp. 9-19. (Intervento presentato al convegno Summer Solstice 2011 International Conference on Discrete Models of Complex Systems tenutosi a Turku (Finlandia) nel June 6–10, 2011) [10.5506/APhysPolBSupp.5.9].
CHAOS, SYNCHRONIZATION AND CONTROL IN CELLULAR AUTOMATA
BAGNOLI, FRANCO;
2012
Abstract
We investigate the mechanism of pinching synchronization (complete synchronization for a fraction of system) for cellular automata, consid- ered as prototypes of discrete systems with unpredictable behaviour (finite- distance chaoticity). The pinching synchronization threshold is related to this chaoticity. Some control problems may be reformulated as targeted synchronization. In these problems one aims at discovering a protocol that keeps the distance between two replicas below a certain threshold with the minimum effort, given some constraints. We have chosen to investigate the behaviour of two control schemes based on the local number of non-zero first-order derivatives, taking as reference the “blind” pinching synchroniza- tion protocol. We have shown that, differently from usual chaotic systems, one can exploit self-annihilation of defects to obtain synchronization with a weaker control.File | Dimensione | Formato | |
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