Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism
Chaotic Dynamics
2015-05-19 v1 Populations and Evolution
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.
Keywords
Cite
@article{arxiv.1007.4981,
title = {Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism},
author = {Christian Guill and Benjamin Reichardt and Barbara Drossel and Wolfram Just},
journal= {arXiv preprint arXiv:1007.4981},
year = {2015}
}
Comments
8 pages, 3 figures