English

Approximation Dynamics

Dynamical Systems 2019-06-03 v2

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.

Keywords

Cite

@article{arxiv.1702.02596,
  title  = {Approximation Dynamics},
  author = {Ethan Akin},
  journal= {arXiv preprint arXiv:1702.02596},
  year   = {2019}
}