Communications - Scientific Letters of the University of Zilina 2012, 14(1):66-68 | DOI: 10.26552/com.C.2012.1.66-68

Pursuit Curves and Ordinary Differential Equations

Zuzana Malacka1
1 Department of Mathematics, Faculty of Humanities, University of Zilina, Slovakia

This paper deals with the differential equations which describe curves of pursuit, in which the pursuer's velocity vector always points directly towards the pursued. We use the Laplace Transform method to solve the classic problem of four mice pursuit.

Keywords: pursuit curve, differential equation, the Laplace Transform method

Published: March 31, 2012  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Malacka, Z. (2012). Pursuit Curves and Ordinary Differential Equations. Communications - Scientific Letters of the University of Zilina, 14(1), 66-68. doi: 10.26552/com.C.2012.1.66-68
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. GRAY, A.: Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed., CRC Press, 1998, pp. 66-69.
    2. NAHIN, P. J.: Chases and Escapes: The Mathematics of Pursuit and Evasion. Princeton-New Jersey : Princeton University Press, 2007.
    3. BERNHART, ARTHUR: Curves of General Pursuit, Scripta Mathematica, 24, 1959, pp. 180-206.

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content