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      The mathematics of motion camouflage

      Proceedings of the Royal Society B: Biological Sciences

      The Royal Society

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          Abstract

          Motion camouflage is a strategy whereby an aggressor moves towards a target while appearing stationary to the target except for the inevitable change in perceived size of the aggressor as it approaches. The strategy has been observed in insects, and mathematical models using discrete time or neural-network control have been used to simulate the behaviour. Here, the differential equations for motion camouflage are derived and some simple cases are analysed. These equations are easy to simulate numerically, and simulations indicate that motion camouflage is more efficient than the classical pursuit strategy ('move directly towards the target').

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          Author and article information

          Journal
          Proceedings of the Royal Society B: Biological Sciences
          Proceedings of the Royal Society B: Biological Sciences
          The Royal Society
          0962-8452
          1471-2954
          March 07 2004
          March 07 2004
          : 271
          : 1538
          : 477-481
          Article
          10.1098/rspb.2003.2622
          1691618
          15129957
          © 2004

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