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

Autor:	Guill, Christian, Reichardt, Benjamin, Drossel, Barbara, Just, Wolfram
Rok vydání:	2010
Předmět:	Nonlinear Sciences - Chaotic Dynamics Quantitative Biology - Populations and Evolution
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.83.021910
Popis:	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. Comment: 8 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.4981 Zobrazit plný text záznamu View this record from Arxiv