Tangent double Hopf bifurcation in a differentially rotating cylinder flow

F. Marques, A. Yu Gelfgat, Juan Lopez

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The tangent double Hopf bifurcation in a differently rotating cylinder flow was analyzed. The codimension-3 tangent double Hopf point was located by using linear stability analysis. It was found that, at the tangent double Hopf point, two rotating waves and an unstable modulated rotating wave bifurcate simultaneously.

Original languageEnglish (US)
Article number016310
Pages (from-to)163101-1631013
Number of pages1467913
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number1 2
StatePublished - Jul 2003

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rotating cylinders
tangents
Hopf Bifurcation
Tangent line
Rotating
Linear Stability Analysis
Codimension
Unstable

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Tangent double Hopf bifurcation in a differentially rotating cylinder flow. / Marques, F.; Gelfgat, A. Yu; Lopez, Juan.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 68, No. 1 2, 016310, 07.2003, p. 163101-1631013.

Research output: Contribution to journalArticle

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