Geodesic
On algorithmic and topological properties of orbits for piecewise-affine mappings
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 16-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {O. M. Kurganskyy},
     title = {On algorithmic and topological properties of orbits for piecewise-affine mappings},
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     pages = {16--18},
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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/

[1] Savchenko A. Ya., Kovalev A. M., Kozlovskii V. A., Scherbak V. F., “Inverse dynamical systems in secure communication and its discrete analogs for information transfer”, Proc. NDES (2003, May 18–22, Scuol/Schuls, Switzerland), 112–116

[2] Asarin E., Mysore V., Pnueli A., Schneider G., “Low dimensional hybrid systems — decidable, undecidable, don't know”, Inform. Comput., 211 (2012), 138–159 | DOI | MR | Zbl

[3] Kurganskyy O., Potapov I., Sancho-Caparrini F., “Reachability problems in low-dimensional iterative maps”, Int. J. Found. Comput. Sci., 19:4 (2008), 935–951 | DOI | MR | Zbl