6533b825fe1ef96bd128324b

RESEARCH PRODUCT

Coexistence of periods in a bisecting bifurcation

V. Botella-solerJ. A. OteoJ. Ros

subject

Nonlinear Sciences::Chaotic DynamicsFOS: Physical sciencesChaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic Dynamics

description

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.

10.1016/j.chaos.2011.11.008http://arxiv.org/abs/1103.0874