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Article Dans Une Revue Nonlinear Dynamics Année : 1996

Analysis of nonlinear oscillations by wavelet transform: Lyapunov exponents

Jean-Marc Malasoma
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Résumé

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.

Dates et versions

hal-00814722 , version 1 (17-04-2013)

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Claude-Henri Lamarque, Jean-Marc Malasoma. Analysis of nonlinear oscillations by wavelet transform: Lyapunov exponents. Nonlinear Dynamics, 1996, 9 (4), pp.333-347. ⟨10.1007/BF01833360⟩. ⟨hal-00814722⟩

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