Geodesic
Simple search games on~an infinite circular cylinder
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 762-772

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Differential search games with simple motions of objects on an infinite circular cylinder are approached geometrically, using sets whose structure depends on time. Sufficient conditions for detection with the corresponding strategies are given. New kinds of problems are proposed, their connections with the initial parameters are investigated. 
@article{MZM_1995_58_5_a9,
     author = {A. G. Chkhartishvili and E. V. Shikin},
     title = {Simple search games on~an infinite circular cylinder},
     journal = {Matemati\v{c}eskie zametki},
     pages = {762--772},
     publisher = {mathdoc},
     volume = {58},
     number = {5},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a9/}
}
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A. G. Chkhartishvili; E. V. Shikin. Simple search games on~an infinite circular cylinder. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 762-772. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a9/