A Discrete Volterra-Lotka System

Heinz-Otto Peitgen and Peter H. Richter
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Heinz-Otto Peitgen: Universität Bremen, Fachbereich Mathematik
Peter H. Richter: Universität Bremen, Fachbereich Physik

Chapter 8 in The Beauty of Fractals, 1986, pp 125-138 from Springer

Abstract: 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.

Keywords: Phase Boundary; Hopf Bifurcation; Elementary Magnet; Renormalization Theory; Atomic Magnet (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-3-642-61717-1_8

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