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Topology and its Applications
Article . 2019 . Peer-reviewed
License: Elsevier Non-Commercial
Data sources: Crossref
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Article . 2019
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2017
License: arXiv Non-Exclusive Distribution
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Approximation dynamics

Authors: Akin, Ethan;

Approximation dynamics

Abstract

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.

Related Organizations
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green