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- W2002037260 abstract "State space discretization occurs in the discrete finite arithmetic of a computer. When a dynamical system is simulated by numerical computations, it consequently evolves in a discretized space of this kind. Where attractors are seen in the simulation, what is their relation to the theoretical structures? If a theoretical attractor occurs, should we expect always to see a computational attractor? We address these questions by giving sufficient conditions for a discretized attractor to be present, and show that it converges to the true attractor in the sense of convergence of compact sets in the Hausdorff metric." @default.
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- W2002037260 date "1993-03-01" @default.
- W2002037260 modified "2023-09-23" @default.
- W2002037260 title "Spatial discretization of mappings" @default.
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- W2002037260 doi "https://doi.org/10.1016/0898-1221(93)90302-c" @default.
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