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

V. Iranzo, F. Marques, Juan Lopez

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)115-128
Number of pages14
JournalTheoretical and Computational Fluid Dynamics
Volume18
Issue number2-4
DOIs
StatePublished - Nov 2004

Fingerprint

Couette flow
Taylor-Couette Flow
Gluing
Local Bifurcations
bifurcation
Global Bifurcation
Imperfections
Bifurcation
Defects
defects
Torus
Hopf bifurcation
Bifurcation (mathematics)
saddles
Glide
Reflectional symmetry
Saddle
Unfolding
Hopf Bifurcation
Parameter Space

Keywords

  • Gluing bifurcation
  • Periodic forcing
  • Symmetry breaking
  • Taylor-Couette flow

ASJC Scopus subject areas

  • Oceanography
  • Physics and Astronomy (miscellaneous)
  • Fluid Flow and Transfer Processes
  • Applied Mathematics
  • Condensed Matter Physics
  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

From global to local bifurcations in a forced Taylor-Couette flow. / Iranzo, V.; Marques, F.; Lopez, Juan.

In: Theoretical and Computational Fluid Dynamics, Vol. 18, No. 2-4, 11.2004, p. 115-128.

Research output: Contribution to journalArticle

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