Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems

Details Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems

2003-07-28

arxiv.org/abs/nlin/0307051v1

Phys. Rev Lett 91, 044101 (2003)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.91.044101

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.

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