Abstract
The unfolding due to imperfections of a gluing bifurcation occuring 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.
Original language | English (US) |
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Pages (from-to) | L33-L36 |
Journal | Physics of Fluids |
Volume | 14 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2002 |
ASJC Scopus subject areas
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes