IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i9p1435-d801132.html
   My bibliography  Save this article

Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron

Author

Listed:
  • Gafurjan Ibragimov

    (Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia)

  • Azamat Holboyev

    (Institute of Mathematics, Tashkent 100174, Uzbekistan)

  • Tolanbay Ibaydullaev

    (Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy)

Abstract

A differential game of m , 3 ≤ m ≤ 6 , pursuers and one evader is studied on an icosahedron in R 3 . All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is said to be completed if the state of a pursuer coincides with the state of evader at some time. We give a sufficient condition of the completion of pursuit in the game.

Suggested Citation

  • Gafurjan Ibragimov & Azamat Holboyev & Tolanbay Ibaydullaev & Bruno Antonio Pansera, 2022. "Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron," Mathematics, MDPI, vol. 10(9), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1435-:d:801132
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/9/1435/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/9/1435/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wei Sun & Panagiotis Tsiotras & Anthony J. Yezzi, 2019. "Correction to: Multiplayer Pursuit-Evasion Games in Three-Dimensional Flow Fields," Dynamic Games and Applications, Springer, vol. 9(4), pages 1208-1208, December.
    2. Wei Sun & Panagiotis Tsiotras & Anthony J. Yezzi, 2019. "Multiplayer Pursuit-Evasion Games in Three-Dimensional Flow Fields," Dynamic Games and Applications, Springer, vol. 9(4), pages 1188-1207, December.
    3. Aleksandr I. Blagodatskikh & Nikolai N. Petrov, 2019. "Simultaneous Multiple Capture of Rigidly Coordinated Evaders," Dynamic Games and Applications, Springer, vol. 9(3), pages 594-613, September.
    4. Gafurjan Ibragimov & Massimiliano Ferrara & Atamurat Kuchkarov & Bruno Antonio Pansera, 2018. "Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints," Dynamic Games and Applications, Springer, vol. 8(2), pages 352-378, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gafurjan Ibragimov & Ikrombek Yusupov & Massimiliano Ferrara, 2023. "Optimal Pursuit Game of Two Pursuers and One Evader with the Grönwall-Type Constraints on Controls," Mathematics, MDPI, vol. 11(2), pages 1-10, January.
    2. Gafurjan Ibragimov & Ruzakhon Kazimirova & Bruno Antonio Pansera, 2022. "Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations," Mathematics, MDPI, vol. 10(23), pages 1-8, November.
    3. Gafurjan Ibragimov & Yusra Salleh & Idham Arif Alias & Bruno Antonio Pansera & Massimiliano Ferrara, 2023. "Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints," Dynamic Games and Applications, Springer, vol. 13(3), pages 819-842, September.
    4. Ruzakhon Kazimirova & Gafurjan Ibragimov & Bruno Antonio Pansera & Abdulla Ibragimov, 2024. "Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations," Mathematics, MDPI, vol. 12(8), pages 1-10, April.
    5. Gafurjan Ibragimov & Massimiliano Ferrara & Marks Ruziboev & Bruno Antonio Pansera, 2021. "Linear evasion differential game of one evader and several pursuers with integral constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 729-750, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1435-:d:801132. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.