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An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems
Author(s) -
Rugonyi Sandra,
Bathe KlausJürgen
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.560
Subject(s) - lyapunov exponent , discretization , chaotic , mathematics , stability (learning theory) , focus (optics) , lyapunov function , exponent , mathematical analysis , control theory (sociology) , statistical physics , computer science , nonlinear system , physics , artificial intelligence , linguistics , philosophy , control (management) , quantum mechanics , machine learning , optics
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.