%0 Journal Article
%T Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism
%A Christian Guill
%A Benjamin Reichardt
%A Barbara Drossel
%A Wolfram Just
%J Quantitative Biology
%D 2010
%I arXiv
%R 10.1103/PhysRevE.83.021910
%X We investigate a population dynamics model that exhibits a Neimark Sacker bifurcation with a period that is naturally close to 4. Beyond the bifurcation, the period becomes soon locked at 4 due to a strong resonance, and a second attractor of period 2 emerges, which coexists with the first attractor over a considerable parameter range. A linear stability analysis and a numerical investigation of the second attractor reveal that the bifurcations producing the second attractor occur naturally in this type of system.
%U http://arxiv.org/abs/1007.4981v1