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 we use are non-degenerate simplicial dynamical systems for p.l. manifolds and shift-like dynamical systems for Cantor Sets.
Recommended Citation
E. Akin, "Approximation Dynamics," Topology and Its Applications, vol. 268, article no. 106920, Elsevier, Dec 2019.
The definitive version is available at https://doi.org/10.1016/j.topol.2019.106920
Department(s)
Mathematics and Statistics
Publication Status
Open Archive
Keywords and Phrases
Non-degenerate simplicial map; Relation dynamics; Shift-like dynamical systems; Simplicial dynamical systems; Subshifts of finite type; Tractable dynamical systems; Two alphabet model
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Elsevier, All rights reserved.
Publication Date
01 Dec 2019
