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Simple search games on an infinite circular cylinder

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Abstract

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.

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Authors and Affiliations

  1. Moscow State University, USSR

    A. G. Chkhartishvili & E. V. Shikin

Authors
  1. A. G. Chkhartishvili
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  2. E. V. Shikin
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Additional information

Translated fromMatematicheskie Zametki, Vol. 58, No. 5, pp. 762–772, November, 1995.

This work was partially supported by the Russian Foundation for Basic Research under grant No. 242 95-01-01471.

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Chkhartishvili, A.G., Shikin, E.V. Simple search games on an infinite circular cylinder. Math Notes 58, 1216–1222 (1995). https://doi.org/10.1007/BF02305005

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