Numerical continuation and bifurcation analysis in aircraft design: an industrial perspective

Sanjiv Sharma*, Etienne Coetzee, Mark Lowenberg, Simon Neild, Bernd Krauskopf

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

20 Citations (Scopus)
379 Downloads (Pure)


Bifurcation analysis is a powerful method for studying the steady-state nonlinear dynamics of systems. Software tools exist for the numerical continuation of steady-state solutions as parameters of the system are varied. These tools make it possible to generate 'maps of solutions' in an efficient way that provide valuable insight into the overall dynamic behaviour of a system and potentially to influence the design process. While this approach has been employed in the military aircraft control community to understand the effectiveness of controllers, the use of bifurcation analysis in the wider aircraft industry is yet limited. This paper reports progress on how bifurcation analysis can play a role as part of the design process for passenger aircraft.

Original languageEnglish
Article number20140406
Number of pages16
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2051
Early online date24 Aug 2015
Publication statusPublished - 28 Sep 2015


  • nonlinear dynamics
  • bifurcation analysis
  • steady-state vibration

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