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A Discrete Volterra-Lotka System

In: The Beauty of Fractals

Author

Listed:
  • Heinz-Otto Peitgen

    (Universität Bremen, Fachbereich Mathematik
    University of California, Santa Cruz, Department of Mathematics)

  • Peter H. Richter

    (Universität Bremen, Fachbereich Physik)

Abstract

In our discussions of Newton’s method we demonstrated how an apparently innocent system of differential equations gives rise to unimaginably rich and complex behaviour after discretization. This is also the Leitmotiv of our last example, the Volterra-Lotka equations for a predator-prey system.

Suggested Citation

  • Heinz-Otto Peitgen & Peter H. Richter, 1986. "A Discrete Volterra-Lotka System," Springer Books, in: The Beauty of Fractals, chapter 8, pages 125-138, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-61717-1_8
    DOI: 10.1007/978-3-642-61717-1_8
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