Abstract
For piecewise monotonic maps the notion of
approximating distribution function is introduced.
It is shown that for a mixing basic set it
coincides with the usual distribution function.
Moreover, it is proved that the approximating
distribution function is upper semi-continuous
under small perturbations of the map.
approximating distribution function is introduced.
It is shown that for a mixing basic set it
coincides with the usual distribution function.
Moreover, it is proved that the approximating
distribution function is upper semi-continuous
under small perturbations of the map.
| Original language | English |
|---|---|
| Pages (from-to) | 2527-2539 |
| Number of pages | 13 |
| Journal | Discrete and Continuous Dynamical Systems - Series A |
| Volume | 38 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 2018 |
Austrian Fields of Science 2012
- 101027 Dynamical systems
Keywords
- Distributional chaos, piecewise monotonic map, distribution function, interval map, perturbation, basic set
- SPECTRAL DECOMPOSITION
- CHAOS
- basic set
- Distributional chaos
- perturbation
- interval map
- piecewise monotonic map
- SYSTEMS
- distribution function
- Interval map
- Basic set
- Piecewise monotonic map
- Perturbation
- Distribution function