Coarse-grained probabilistic automata mimicking chaotic systems.
Discretization of phase space usually nullifies chaos in dynamical systems. We show that if randomness is associated with discretization dynamical chaos may survive and be indistinguishable from that of the original chaotic system, when an entropic, coarse-grained analysis is performed. Relevance of this phenomenon to the problem of quantum chaos is discussed.
Falcioni
Massimo
M
Dipartimento di Fisica, Università di Roma La Sapienza, INFM, Unità di Roma1 and SMC Center, Piazzale Aldo Moro 2, 00185 Roma, Italy.
Vulpiani
Angelo
A
Mantica
Giorgio
G
Pigolotti
Simone
S