Coexisting patterns of population oscillations: the degenerate Neimark-Sacker bifurcation as a generic mechanism.
نویسندگان
چکیده
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 soon becomes 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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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 83 2 Pt 1 شماره
صفحات -
تاریخ انتشار 2011