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arXiv · 1007.4981

Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism

Christian Guill·Benjamin Reichardt·Barbara Drossel·Wolfram Just
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Abstract

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.

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Christian Guill, Benjamin Reichardt, Barbara Drossel, Wolfram Just. 2010-07-28. Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism. https://doi.org/10.1103/physreve.83.021910

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