Abstract
A definition of hyperbolicity for dynamical systems generated by set-valued mappings of general form in terms of local selectors is given. It is shown that a system hyperbolic in this sense has the shadowing and inverse shadowing properties. It is also shown that the hyperbolicity property holds true for a certain class of set-valued mappings where images of points are convex polytopes.
| Original language | English |
|---|---|
| Pages (from-to) | 600-608 |
| Number of pages | 9 |
| Journal | Journal of Mathematical Sciences |
| Volume | 175 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Jun 2011 |
| Externally published | Yes |