Geodesic
On algorithmic and topological properties of orbits for piecewise-affine mappings
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 16-18

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The open reachability problem for one dimensional piecewise-affine mappings with two intervals (2-PAM) is considered. Some decidability results following from the specific topological properties of reachable states of the 2-PAM's are given.
Keywords: piecewise-affine mapping, reachability problem. 
@article{PDMA_2013_6_a7,
     author = {O. M. Kurganskyy},
     title = {On algorithmic and topological properties of orbits for piecewise-affine mappings},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {16--18},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a7/}
}
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O. M. Kurganskyy. On algorithmic and topological properties of orbits for piecewise-affine mappings. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 16-18. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a7/