Imperfect gluing bifurcation in a temporal glide-reflection symmetric Taylor–Couette flow
نویسندگان
چکیده
The unfolding due to imperfections of a gluing bifurcation occurring in a periodically forced Taylor–Couette system is numerically analyzed. In the absence of imperfections, a temporal glide-reflection Z2 symmetry exists, and two global bifurcations occur within a small parameter region: a heteroclinic bifurcation between two saddle two-tori and a gluing bifurcation of three-tori. Due to the presence of imperfections, these two global bifurcations collide, strongly reducing the range of validity of the generic unfolding of the gluing bifurcation. © 2002 American Institute of Physics. @DOI: 10.1063/1.1476915#
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From global to local bifurcations in a forced Taylor–Couette flow
The unfolding due to imperfections of a gluing bifurcation occurring in a periodically forced Taylor–Couette system is analyzed numerically. In the absence of imperfections, a temporal glide-reflection Z2 symmetry exists, and two global bifurcations occur within a small region of parameter space: a heteroclinic bifurcation between two saddle two-tori and a gluing bifurcation of three-tori. As t...
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