Analysis of nonlinear oscillations by wavelet transform: Lyapunov exponents |
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| Authors: | C -H Lamarque J -M Malasoma |
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| Institution: | (1) Ecole Nationale des Travaux Publics de l'Etat, LGM — URA CNRS 1652, 1 rue Maurice Audin, F-69518 Vaulx-en-Velin Cédex, France |
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| Abstract: | In this paper we give the definition of exponents which would look like Lyapunov exponents in the cases of non-smooth flows of differential equations or iterated maps, and carry back Lyapunov exponents in smooth cases. Here we test our definition by using some simple linear and nonlinear smooth examples. |
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| Keywords: | Wavelet transform Lyapunov exponents nonlinear mechanical systems flows |
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