Coexistence of periods in a bisecting bifurcation
arXiv:1103.0874 · doi:10.1016/j.chaos.2011.11.008
Abstract
The inner structure of the attractor appearing when the Varley-Gradwell-Hassell population model bifurcates from regular to chaotic behaviour is studied. By algebraic and geometric arguments the coexistence of a continuum of neutrally stable limit cycles with different periods in the attractor is explained.
13 pages, 5 figures