NDLI: From global to local bifurcations in a forced Taylor

Content Provider	Springer Nature Link
Author	Iranzo, V. Marques, F. Lopez, J.M.
Copyright Year	2004
Abstract	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 the imperfection parameter increase, these two global bifurcations collide, and all the global bifurcations become local (fold and Hopf bifurcations). This severely restricts the range of validity of the theoretical picture in the neighborhood of the gluing bifurcation considered, and has significant implications for the interpretation of experimental results.
Starting Page	115
Ending Page	128
Page Count	14
File Format	PDF
ISSN	09354964
Journal	Theoretical and Computational Fluid Dynamics
Volume Number	18
Issue Number	2-4
e-ISSN	14322250
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2004-11-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Taylor–Couette flow periodic forcing symmetry breaking gluing bifurcation Engineering Fluid Dynamics Classical Continuum Physics Computational Science and Engineering
Content Type	Text
Resource Type	Article
Subject	Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics

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From global to local bifurcations in a forced Taylor–Couette flow