Geodesic
Doubling bifurcation of a closed invariant curve in 3D maps
Laura Gardini1 ; Iryna Sushko2
1 Dept. of Economics, Society and Politics, University of Urbino, Italy
2 Institute of Mathematics, NASU ; Kyiv Economics Institute at Kyiv School of Economics 
ESAIM. Proceedings, Tome 36 (2012), pp. 180-188.

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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 which has doubled loops.
DOI : 10.1051/proc/201236014

Laura Gardini 1 ; Iryna Sushko 2

1 Dept. of Economics, Society and Politics, University of Urbino, Italy
2 Institute of Mathematics, NASU ; Kyiv Economics Institute at Kyiv School of Economics  
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Laura Gardini; Iryna Sushko. Doubling bifurcation of a closed invariant curve in 3D maps. ESAIM. Proceedings, Tome 36 (2012), pp. 180-188. doi : 10.1051/proc/201236014. http://geodesic.mathdoc.fr/articles/10.1051/proc/201236014/

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