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Journal Articles International journal of bifurcation and chaos in applied sciences and engineering Year : 2013

Canards from Chua's circuit

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Abstract

The aim of this work is to extend Benoît's theorem for the generic existence of "canards" solutions in singularly perturbed dynamical systems of dimension three with one fast variable to those of dimension four. Then, it is established that this result can be found according to the Flow Curvature Method. Applications to Chua's cubic model of dimension three and four enable to state the existence of "canards" solutions in such systems.
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Dates and versions

hal-01056966 , version 1 (21-08-2014)

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Jean-Marc Ginoux, Jaume Llibre, Leon L. O. Chua. Canards from Chua's circuit. International journal of bifurcation and chaos in applied sciences and engineering , 2013, 23 (4), pp.1330010. ⟨10.1142/S0218127413300103⟩. ⟨hal-01056966⟩
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