%0 Journal Article
%T Coexistence of periods in a bifurcation
%A Botella-Soler, V.
%A Oteo, J. A.
%A Ros, J.
%J Chaos, Solitons & Fractals
%D 2012
%V 45
%N 5
%I Pergamon-Elsevier Science Ltd
%@ 0960-0779
%G English
%F Botella-Soler_etal2012
%O WOS:000303785300014
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1005), last updated on Thu, 01 Nov 2012 19:57:44 +0000
%X A particular type of order-to-chaos transition mediated by an infinite set of coexisting neutrally stable limit cycles of different periods is studied in the Varley-Gradwell-Hassell population model. We prove by an algebraic method that this kind of transition can only happen for a particular bifurcation parameter value. Previous results on the structure of the attractor at the transition point are here simplified and extended.
%R 10.1016/j.chaos.2011.11.008
%U http://arxiv.org/abs/1103.0874
%U https://doi.org/10.1016/j.chaos.2011.11.008
%P 681-686