
arXiv: 1702.02596
We describe the approximation of a continuous dynamical system on a p. l. manifold or Cantor set by a tractable system. A system is tractable when it has a finite number of chain components and, with respect to a given full background measure, almost every point is generic for one of a finite number of ergodic invariant measures. The approximations use non-degenerate simplicial dynamical systems for p. l. manifolds and shift-like dynamical systems for Cantor Sets.
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Morse-Smale systems, Dynamical aspects of measure-preserving transformations, Symbolic dynamics, subshifts of finite type, two-alphabet model, Dynamical Systems (math.DS), tractable dynamical systems, shift-like dynamical systems, relation dynamics, non-degenerate simplicial map, FOS: Mathematics, Mathematics - Dynamical Systems, simplicial dynamical systems, Dynamics in general topological spaces, Multidimensional shifts of finite type
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Morse-Smale systems, Dynamical aspects of measure-preserving transformations, Symbolic dynamics, subshifts of finite type, two-alphabet model, Dynamical Systems (math.DS), tractable dynamical systems, shift-like dynamical systems, relation dynamics, non-degenerate simplicial map, FOS: Mathematics, Mathematics - Dynamical Systems, simplicial dynamical systems, Dynamics in general topological spaces, Multidimensional shifts of finite type
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