Doubling bifurcation of a closed invariant curve in 3D maps
Laura Gardini, Iryna Sushko (2012)
ESAIM: Proceedings
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The object of the present paper is to give a qualitative description of the bifurcation mechanisms associated with a closed invariant curve in three-dimensional maps, leading to its doubling, not related to a standard doubling of tori. We propose an explanation on how a closed invariant attracting curve, born via Neimark-Sacker bifurcation, can be transformed into a repelling one giving birth to a new attracting closed invariant curve ...