We consider a class of simple two-dimensional discrete models representative of a system incorporating both mutationand predation. A selection of analytic and numerical results are presented, classifying the dynamic behaviour of the systemby means of Lyapunov exponents over a biologically-reasonable region of parameter space, and illustrating the occurrenceof hyperchaos and a Neimark-Sacker bifurcation producing regions of quasiperiodicity.
- discrete chaos
Abernethy, G., & McCartney, M. (2016). Analysis of a Class of Low-Dimensional Models of Mutation and Predation. International Journal of Bifurcation and Chaos, 26(11), 1630029-1-13. https://doi.org/10.1142/S0218127416300299