Phys. Rev. Lett. 91, 044101 (2003) [4 pages]Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems |
Massimo Falcioni and Angelo Vulpiani
Dipartimento di Fisica, Università di Roma ”La Sapienza,” INFM, Unità di Roma1 and SMC Center, Piazzale Aldo Moro 2, 00185 Roma, Italy
Giorgio Mantica *
Center for Nonlinear and Complex Systems, Università dell’Insubria, Via Valleggio 11, 22100 Como, Italy, and I.N.F.M., Unità di Como, I.N.F.N. Sezione Milano, Italy
Simone Pigolotti
SISSA, Via Beirut 4, 34014 Trieste, Italy
Received 1 October 2002; published 24 July 2003
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.
©2003 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v91/e044101
DOI: 10.1103/PhysRevLett.91.044101
PACS: 05.45.–a, 45.05.+x
* Electronic address: giorgio.mantica@uninsubria.it
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