Doubling bifurcation of a closed invariant curve in 3D maps

Gardini, Laura, and Sushko, Iryna. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. " Doubling bifurcation of a closed invariant curve in 3D maps ." ESAIM: Proceedings 36 (2012): 180-188. <http://eudml.org/doc/251210>.

@article{Gardini2012,
abstract = {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.},
author = {Gardini, Laura, Sushko, Iryna},
editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},
journal = {ESAIM: Proceedings},
keywords = {3D maps; Neimark-Sacker bifurcation; closed invariant curve; period-doubling bifurcation},
language = {eng},
month = {8},
pages = {180-188},
publisher = {EDP Sciences},
title = { Doubling bifurcation of a closed invariant curve in 3D maps },
url = {http://eudml.org/doc/251210},
volume = {36},
year = {2012},
}

TY - JOUR
AU - Gardini, Laura
AU - Sushko, Iryna
AU - Fournier-Prunaret, D.
AU - Gardini, L.
AU - Reich, L.
TI - Doubling bifurcation of a closed invariant curve in 3D maps
JO - ESAIM: Proceedings
DA - 2012/8//
PB - EDP Sciences
VL - 36
SP - 180
EP - 188
AB - 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.
LA - eng
KW - 3D maps; Neimark-Sacker bifurcation; closed invariant curve; period-doubling bifurcation
UR - http://eudml.org/doc/251210
ER -