Coexistence of periods in a bisecting bifurcation

Published 4 Mar 2011 in nlin.CD | (1103.0874v1)

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.

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