English

Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems

Chaotic Dynamics 2009-11-10 v1 Cellular Automata and Lattice Gases Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0307051,
  title  = {Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems},
  author = {M. Falcioni and A. Vulpiani and G. Mantica and S. Pigolotti},
  journal= {arXiv preprint arXiv:nlin/0307051},
  year   = {2009}
}

Comments

4 pages, 4 figures

R2 v1 2026-07-22T18:11:19.553Z