Unfolding of degenerate Hopf bifurcation for supersonic flow past a pitching wedge

N Sri Namachchivaya

Research output: Contribution to journalArticle

Abstract

This paper investigates the stability and bifurcation behavior of a double-wedge aerofoil performing a pitching motion at high angles of attack. When a pair of complex conjugate eigenvalues crosses the imaginary axis of the eigenvalue plane, the trivial solution loses stability giving rise to a periodic solution, known as Hopf bifurcation, provided certain transversality conditions are not violated. The existence of degenerate Hopf bifurcation due to the violation of Hopf s transversality condition at certain critical values of the system parameters is shown. The behavior of the pitching motion near these critical values is examined by unfolding the degeneracies. For the supersonic double-wedge aerofoil, various parameters defining the bifurcation paths were numerically evaluated.

Original languageEnglish (US)
Pages (from-to)413-418
Number of pages6
JournalJournal of Guidance, Control, and Dynamics
Volume9
Issue number4
DOIs
StatePublished - Jan 1 1986

Fingerprint

Transversality Condition
Supersonic Flow
Hopf bifurcation
supersonic flow
Supersonic flow
Unfolding
bifurcation
Wedge
Airfoils
Hopf Bifurcation
wedges
Critical value
eigenvalues
Bifurcation
Eigenvalue
Complex conjugate
Motion
angle of attack
eigenvalue
Angle of attack

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

Unfolding of degenerate Hopf bifurcation for supersonic flow past a pitching wedge. / Namachchivaya, N Sri.

In: Journal of Guidance, Control, and Dynamics, Vol. 9, No. 4, 01.01.1986, p. 413-418.

Research output: Contribution to journalArticle

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