Geodesic
Discrete dynamical systems defined geometrical images of automata
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 73-78.

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The object of study is the dynamic system defined by geometrical images of automata. The phase space of the system is determined by orthogonal and affine transformations of geometric images. Compositions of dynamical systems of a given type and their characteristics are studied. 
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L. B. Tyapaev; D. V. Vasilenko; M. V. Karandashov. Discrete dynamical systems defined geometrical images of automata. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 73-78. http://geodesic.mathdoc.fr/item/ISU_2013_13_2_a10/

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[2] Tyapaev L. B., “Solving Some Problems of Automata Behaviour Analysis”, Izv. Sarat. Univ. N. S. Ser. Math. Mech. Inform., 6:1(2) (2006), 121–133

[3] Tyapaev L. B., “Geometric images of automata and dynamical systems”, Discretnaya matematica i eyo prilozheniya, Materialy X Mezhd. seminara, ed. O. M. Kasim-Zade, Moscow, 2010, 510–513

[4] Matov D. O., “Affine transformations of geometric images of finite automata”, Problemy teoteticheskoj kibernetiki, Materialy XVI Mezhdunar. konf., ed. Yu. I. Zhuravlyova, Nizhni Novgorod, 2011, 303–306