Research output: Contribution to journal › Article › peer-review
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. Bibliography: 13 titles.
Original language | English |
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Pages (from-to) | 600-608 |
Number of pages | 9 |
Journal | Journal of Mathematical Sciences |
Volume | 175 |
Issue number | 5 |
DOIs | |
State | Published - Jun 2011 |
ID: 74986151