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9 replies

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-MFra-21-Topaz II
21-Topaz II
October 1, 2018

Hi 

Very beautiful. I also have the analytical solution.

    V
    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    October 1, 2018
    Show please!
    But the solution without animation is not solution!
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    -MFra-21-Topaz II
    21-Topaz II
    October 2, 2018

    Hi

    I only provide you with the most important part I have developed. Let me know if you find something wrong. (After the formula (11) there is still some simple calculation to do)
    Greetings FM.

    Greyhound-hare tracking curve.jpg

    Greyhound-hare tracking curve 1.jpg

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 1, 2018
      I look and look at this animation and I expect that the hare will still run away from the wolf into the forest...
      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 1, 2018
      @ValeryOchkov wrote:
      I look and look at this animation and I expect that the hare will still run away from the wolf into the forest...

      The hare has an afterburner. The hare turns it on when the distance to the wolf becomes less than 300 m. Therefore, the hare can be saved in the forest from the wolf!

      Can you solve this problem analytical?

      And the second (new, fresh) problem! The hare does not run in a straight line, but along a circular arc!

      WolfHare-Forsage.gif

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 8, 2018

      One symbolic solution one partial case of the problem

      WolfHareSymbol.png

       

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 9, 2018

      The DE of the problem. See Pursuit curve

      Wolf-Hare-ODE.png

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 9, 2018

      Dog -> Wolf -> Hare (see alse Mice problem)

      WolfHareDog.gif

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 11, 2018

      3D

      HawkHare.gif

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 12, 2018

      The hawk chased the hare, landed, and ... drove out of the runway. Fog!

      HawkHare-Fog.gif

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 17, 2018

      Classic book - Differential Games by Rufus Isaacs

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      October 29, 2018

      Correct variant in attach!

      Wolf-Hare.png

      V
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      December 9, 2019

      Thanks to all for this article

      APPLICATION OF DIFFERENCE SCHEMES TO DECISION THE PURSUIT PROBLEM 

      F
      Fred_Kohlhepp23-Emerald I
      23-Emerald I
      August 14, 2021

      close pursuit.jpg

        V
        ValeryOchkov24-Ruby IVAuthor
        24-Ruby IV
        August 15, 2021

        Выпил.png

        V
        ValeryOchkov24-Ruby IVAuthor
        24-Ruby IV
        August 16, 2021

        Hound hunting in old Russia 

        V
        ValeryOchkov24-Ruby IVAuthor
        24-Ruby IV
        November 17, 2021

        The rabbit runs in a circle. The fox runs after the rabbit and sees that the rabbit cannot be caught up - the rabbit's speed is higher. When the sly fox stops, waits for the rabbit and tries to catch him

        Wolf-Hare-Circle-Stop.gif

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