An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems

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 f...

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Veröffentlicht in:	International journal for numerical methods in engineering 2003-01, Vol.56 (1), p.145-163
Hauptverfasser:	Rugonyi, Sandra, Bathe, Klaus-Jürgen
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Chaos theory chaotic behaviour dynamic stability Dynamical systems Dynamics Exponents Fluid-structure interaction Lyapunov characteristic exponent Mathematical analysis non-linear dynamics Stability stability analysis
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Beschreibung
Zusammenfassung:	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. Copyright © 2002 John Wiley & Sons, Ltd.
ISSN:	0029-5981 1097-0207
DOI:	10.1002/nme.560