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 Cet article a éte moissonné depuis la source EDP Sciences

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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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     author = {Laura Gardini and Iryna Sushko},
     title = {Doubling bifurcation of a closed invariant curve in {3D} maps},
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     doi = {10.1051/proc/201236014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201236014/}
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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

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