An evaluation of the Lyapunov characteristics exponent of chaotic continuous systems

Sandra Rugonyi, Klaus Jürgen Bathe

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

A procedure to calculate the Lyapunov characteristic exponent of the response of structural continuous systems, discretized using finite element methods, is proposed. The Lyapunov characteristic exponent can be used to characterize the asymptotic stability of the system dynamic response, and it is frequently employed to identify a chaotic behaviour. The proposed procedure can also be used in the stability characterization of fluid-structure interaction systems in which the focus of the analysis is on the behaviour of the structural part.

Original languageEnglish (US)
Pages (from-to)145-163
Number of pages19
JournalInternational Journal for Numerical Methods in Engineering
Volume56
Issue number1
DOIs
StatePublished - Jan 7 2003

Keywords

  • Chaotic behaviour
  • Dynamic stability
  • Lyapunov characteristic exponent
  • Non-linear dynamics
  • Stability analysis

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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