Coexistence of periods in a bisecting bifurcation

Details Coexistence of periods in a bisecting bifurcation Coexistence of periods in a bisecting bifurcation

2011-03-04

arxiv.org/abs/1103.0874v1

Nonlinear Sciences

Chaotic Dynamics

13 pages, 5 figures

Scientific paper

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.

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